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Finding the Fourth Proportional to 35,692.94, 53,542.04 and 9,397.50

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Solution

The fourth proportional to 35,692.94, 53,542.04 and 9,397.50 is: 14,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.94 : 53,542.04 = 9,397.50 : x
  2. Step 2: Convert to fraction form
    35,692.94/53,542.04 = 9,397.50/x
  3. Step 3: Cross multiply
    35,692.94x = 53,542.04 × 9,397.50
  4. Step 4: Simplify right side
    35,692.94x = 503,161,273.91
  5. Step 5: Solve for x
    x = 503,161,273.91/35,692.94
  6. Step 6: Final answer
    x = 14,096.94

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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.