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Finding the Fourth Proportional to 10,472.67, 14,456.04 and 6,937.02

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Solution

The fourth proportional to 10,472.67, 14,456.04 and 6,937.02 is: 9,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.67 : 14,456.04 = 6,937.02 : x
  2. Step 2: Convert to fraction form
    10,472.67/14,456.04 = 6,937.02/x
  3. Step 3: Cross multiply
    10,472.67x = 14,456.04 × 6,937.02
  4. Step 4: Simplify right side
    10,472.67x = 100,281,838.60
  5. Step 5: Solve for x
    x = 100,281,838.60/10,472.67
  6. Step 6: Final answer
    x = 9,575.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.