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Finding the Fourth Proportional to 9,452.60, 14,171.88 and 6,522.56

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Solution

The fourth proportional to 9,452.60, 14,171.88 and 6,522.56 is: 9,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.60 : 14,171.88 = 6,522.56 : x
  2. Step 2: Convert to fraction form
    9,452.60/14,171.88 = 6,522.56/x
  3. Step 3: Cross multiply
    9,452.60x = 14,171.88 × 6,522.56
  4. Step 4: Simplify right side
    9,452.60x = 92,436,937.61
  5. Step 5: Solve for x
    x = 92,436,937.61/9,452.60
  6. Step 6: Final answer
    x = 9,779.00

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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.