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Finding the Fourth Proportional to 10,442.93, 15,617.91 and 9,281.08

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Solution

The fourth proportional to 10,442.93, 15,617.91 and 9,281.08 is: 13,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.93 : 15,617.91 = 9,281.08 : x
  2. Step 2: Convert to fraction form
    10,442.93/15,617.91 = 9,281.08/x
  3. Step 3: Cross multiply
    10,442.93x = 15,617.91 × 9,281.08
  4. Step 4: Simplify right side
    10,442.93x = 144,951,126.47
  5. Step 5: Solve for x
    x = 144,951,126.47/10,442.93
  6. Step 6: Final answer
    x = 13,880.32

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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.