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Finding the Fourth Proportional to 9,293.28, 13,940.64 and 4,098.24

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Solution

The fourth proportional to 9,293.28, 13,940.64 and 4,098.24 is: 6,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.28 : 13,940.64 = 4,098.24 : x
  2. Step 2: Convert to fraction form
    9,293.28/13,940.64 = 4,098.24/x
  3. Step 3: Cross multiply
    9,293.28x = 13,940.64 × 4,098.24
  4. Step 4: Simplify right side
    9,293.28x = 57,132,088.47
  5. Step 5: Solve for x
    x = 57,132,088.47/9,293.28
  6. Step 6: Final answer
    x = 6,147.68

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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.