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Finding the Fourth Proportional to 9,782,938.40, 14,656,692.90 and 8,365,762.40

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Solution

The fourth proportional to 9,782,938.40, 14,656,692.90 and 8,365,762.40 is: 12,533,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,938.40 : 14,656,692.90 = 8,365,762.40 : x
  2. Step 2: Convert to fraction form
    9,782,938.40/14,656,692.90 = 8,365,762.40/x
  3. Step 3: Cross multiply
    9,782,938.40x = 14,656,692.90 × 8,365,762.40
  4. Step 4: Simplify right side
    9,782,938.40x = 122,614,410,371,166.97
  5. Step 5: Solve for x
    x = 122,614,410,371,166.97/9,782,938.40
  6. Step 6: Final answer
    x = 12,533,495.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.