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Finding the Fourth Proportional to 9,147.17, 12,611.62 and 7,466.87

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Solution

The fourth proportional to 9,147.17, 12,611.62 and 7,466.87 is: 10,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.17 : 12,611.62 = 7,466.87 : x
  2. Step 2: Convert to fraction form
    9,147.17/12,611.62 = 7,466.87/x
  3. Step 3: Cross multiply
    9,147.17x = 12,611.62 × 7,466.87
  4. Step 4: Simplify right side
    9,147.17x = 94,169,327.03
  5. Step 5: Solve for x
    x = 94,169,327.03/9,147.17
  6. Step 6: Final answer
    x = 10,294.91

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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.