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Finding the Fourth Proportional to 9,399.99, 12,972.18 and 5,815.47

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Solution

The fourth proportional to 9,399.99, 12,972.18 and 5,815.47 is: 8,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.99 : 12,972.18 = 5,815.47 : x
  2. Step 2: Convert to fraction form
    9,399.99/12,972.18 = 5,815.47/x
  3. Step 3: Cross multiply
    9,399.99x = 12,972.18 × 5,815.47
  4. Step 4: Simplify right side
    9,399.99x = 75,439,323.62
  5. Step 5: Solve for x
    x = 75,439,323.62/9,399.99
  6. Step 6: Final answer
    x = 8,025.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.