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Finding the Fourth Proportional to 9,711.66, 14,568.46 and 3,866.91

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Solution

The fourth proportional to 9,711.66, 14,568.46 and 3,866.91 is: 5,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.66 : 14,568.46 = 3,866.91 : x
  2. Step 2: Convert to fraction form
    9,711.66/14,568.46 = 3,866.91/x
  3. Step 3: Cross multiply
    9,711.66x = 14,568.46 × 3,866.91
  4. Step 4: Simplify right side
    9,711.66x = 56,334,859.36
  5. Step 5: Solve for x
    x = 56,334,859.36/9,711.66
  6. Step 6: Final answer
    x = 5,800.74

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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.