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Finding the Fourth Proportional to 9,714.60, 13,387.68 and 8,037.90

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Solution

The fourth proportional to 9,714.60, 13,387.68 and 8,037.90 is: 11,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.60 : 13,387.68 = 8,037.90 : x
  2. Step 2: Convert to fraction form
    9,714.60/13,387.68 = 8,037.90/x
  3. Step 3: Cross multiply
    9,714.60x = 13,387.68 × 8,037.90
  4. Step 4: Simplify right side
    9,714.60x = 107,608,833.07
  5. Step 5: Solve for x
    x = 107,608,833.07/9,714.60
  6. Step 6: Final answer
    x = 11,077.02

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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.