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Finding the Fourth Proportional to 9,711.20, 14,544.92 and 5,807.42

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Solution

The fourth proportional to 9,711.20, 14,544.92 and 5,807.42 is: 8,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.20 : 14,544.92 = 5,807.42 : x
  2. Step 2: Convert to fraction form
    9,711.20/14,544.92 = 5,807.42/x
  3. Step 3: Cross multiply
    9,711.20x = 14,544.92 × 5,807.42
  4. Step 4: Simplify right side
    9,711.20x = 84,468,459.31
  5. Step 5: Solve for x
    x = 84,468,459.31/9,711.20
  6. Step 6: Final answer
    x = 8,698.05

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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.