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Finding the Fourth Proportional to 9,097.62, 13,646.28 and 4,963.95

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Solution

The fourth proportional to 9,097.62, 13,646.28 and 4,963.95 is: 7,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.62 : 13,646.28 = 4,963.95 : x
  2. Step 2: Convert to fraction form
    9,097.62/13,646.28 = 4,963.95/x
  3. Step 3: Cross multiply
    9,097.62x = 13,646.28 × 4,963.95
  4. Step 4: Simplify right side
    9,097.62x = 67,739,470.22
  5. Step 5: Solve for x
    x = 67,739,470.22/9,097.62
  6. Step 6: Final answer
    x = 7,445.85

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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.