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Finding the Fourth Proportional to 6,137.12, 9,159.31 and 5,720.96

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Solution

The fourth proportional to 6,137.12, 9,159.31 and 5,720.96 is: 8,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.12 : 9,159.31 = 5,720.96 : x
  2. Step 2: Convert to fraction form
    6,137.12/9,159.31 = 5,720.96/x
  3. Step 3: Cross multiply
    6,137.12x = 9,159.31 × 5,720.96
  4. Step 4: Simplify right side
    6,137.12x = 52,400,046.14
  5. Step 5: Solve for x
    x = 52,400,046.14/6,137.12
  6. Step 6: Final answer
    x = 8,538.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.