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Finding the Fourth Proportional to 10,429.70, 14,397.63 and 6,657.85

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Solution

The fourth proportional to 10,429.70, 14,397.63 and 6,657.85 is: 9,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.70 : 14,397.63 = 6,657.85 : x
  2. Step 2: Convert to fraction form
    10,429.70/14,397.63 = 6,657.85/x
  3. Step 3: Cross multiply
    10,429.70x = 14,397.63 × 6,657.85
  4. Step 4: Simplify right side
    10,429.70x = 95,857,188.91
  5. Step 5: Solve for x
    x = 95,857,188.91/10,429.70
  6. Step 6: Final answer
    x = 9,190.79

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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.