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Finding the Fourth Proportional to 9,445.62, 14,180.76 and 7,255.92

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Solution

The fourth proportional to 9,445.62, 14,180.76 and 7,255.92 is: 10,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.62 : 14,180.76 = 7,255.92 : x
  2. Step 2: Convert to fraction form
    9,445.62/14,180.76 = 7,255.92/x
  3. Step 3: Cross multiply
    9,445.62x = 14,180.76 × 7,255.92
  4. Step 4: Simplify right side
    9,445.62x = 102,894,460.10
  5. Step 5: Solve for x
    x = 102,894,460.10/9,445.62
  6. Step 6: Final answer
    x = 10,893.35

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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.