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Finding the Fourth Proportional to 9,889.52, 14,834.32 and 4,692.56

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Solution

The fourth proportional to 9,889.52, 14,834.32 and 4,692.56 is: 7,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.52 : 14,834.32 = 4,692.56 : x
  2. Step 2: Convert to fraction form
    9,889.52/14,834.32 = 4,692.56/x
  3. Step 3: Cross multiply
    9,889.52x = 14,834.32 × 4,692.56
  4. Step 4: Simplify right side
    9,889.52x = 69,610,936.66
  5. Step 5: Solve for x
    x = 69,610,936.66/9,889.52
  6. Step 6: Final answer
    x = 7,038.86

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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.