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Finding the Fourth Proportional to 9,711.16, 14,567.72 and 3,866.40

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Solution

The fourth proportional to 9,711.16, 14,567.72 and 3,866.40 is: 5,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.16 : 14,567.72 = 3,866.40 : x
  2. Step 2: Convert to fraction form
    9,711.16/14,567.72 = 3,866.40/x
  3. Step 3: Cross multiply
    9,711.16x = 14,567.72 × 3,866.40
  4. Step 4: Simplify right side
    9,711.16x = 56,324,632.61
  5. Step 5: Solve for x
    x = 56,324,632.61/9,711.16
  6. Step 6: Final answer
    x = 5,799.99

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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.