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Finding the Fourth Proportional to 9,181.60, 13,772.40 and 6,265.60

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Solution

The fourth proportional to 9,181.60, 13,772.40 and 6,265.60 is: 9,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.60 : 13,772.40 = 6,265.60 : x
  2. Step 2: Convert to fraction form
    9,181.60/13,772.40 = 6,265.60/x
  3. Step 3: Cross multiply
    9,181.60x = 13,772.40 × 6,265.60
  4. Step 4: Simplify right side
    9,181.60x = 86,292,349.44
  5. Step 5: Solve for x
    x = 86,292,349.44/9,181.60
  6. Step 6: Final answer
    x = 9,398.40

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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.