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Finding the Fourth Proportional to 9,531.76, 13,153.75 and 5,497.10

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Solution

The fourth proportional to 9,531.76, 13,153.75 and 5,497.10 is: 7,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.76 : 13,153.75 = 5,497.10 : x
  2. Step 2: Convert to fraction form
    9,531.76/13,153.75 = 5,497.10/x
  3. Step 3: Cross multiply
    9,531.76x = 13,153.75 × 5,497.10
  4. Step 4: Simplify right side
    9,531.76x = 72,307,479.13
  5. Step 5: Solve for x
    x = 72,307,479.13/9,531.76
  6. Step 6: Final answer
    x = 7,585.95

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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.