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Finding the Fourth Proportional to 9,711.68, 14,568.47 and 3,866.93

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Solution

The fourth proportional to 9,711.68, 14,568.47 and 3,866.93 is: 5,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.68 : 14,568.47 = 3,866.93 : x
  2. Step 2: Convert to fraction form
    9,711.68/14,568.47 = 3,866.93/x
  3. Step 3: Cross multiply
    9,711.68x = 14,568.47 × 3,866.93
  4. Step 4: Simplify right side
    9,711.68x = 56,335,253.70
  5. Step 5: Solve for x
    x = 56,335,253.70/9,711.68
  6. Step 6: Final answer
    x = 5,800.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.