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Finding the Fourth Proportional to 6,129.72, 8,459.88 and 5,754.36

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Solution

The fourth proportional to 6,129.72, 8,459.88 and 5,754.36 is: 7,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.72 : 8,459.88 = 5,754.36 : x
  2. Step 2: Convert to fraction form
    6,129.72/8,459.88 = 5,754.36/x
  3. Step 3: Cross multiply
    6,129.72x = 8,459.88 × 5,754.36
  4. Step 4: Simplify right side
    6,129.72x = 48,681,195.08
  5. Step 5: Solve for x
    x = 48,681,195.08/6,129.72
  6. Step 6: Final answer
    x = 7,941.83

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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.