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Finding the Fourth Proportional to 10,429.92, 14,307.57 and 9,864.99

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Solution

The fourth proportional to 10,429.92, 14,307.57 and 9,864.99 is: 13,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.92 : 14,307.57 = 9,864.99 : x
  2. Step 2: Convert to fraction form
    10,429.92/14,307.57 = 9,864.99/x
  3. Step 3: Cross multiply
    10,429.92x = 14,307.57 × 9,864.99
  4. Step 4: Simplify right side
    10,429.92x = 141,144,034.97
  5. Step 5: Solve for x
    x = 141,144,034.97/10,429.92
  6. Step 6: Final answer
    x = 13,532.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.