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Finding the Fourth Proportional to 9,148.34, 12,616.56 and 7,132.25

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Solution

The fourth proportional to 9,148.34, 12,616.56 and 7,132.25 is: 9,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.34 : 12,616.56 = 7,132.25 : x
  2. Step 2: Convert to fraction form
    9,148.34/12,616.56 = 7,132.25/x
  3. Step 3: Cross multiply
    9,148.34x = 12,616.56 × 7,132.25
  4. Step 4: Simplify right side
    9,148.34x = 89,984,491.60
  5. Step 5: Solve for x
    x = 89,984,491.60/9,148.34
  6. Step 6: Final answer
    x = 9,836.15

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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.