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Finding the Fourth Proportional to 6,101.18, 9,129.90 and 5,282.27

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Solution

The fourth proportional to 6,101.18, 9,129.90 and 5,282.27 is: 7,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.18 : 9,129.90 = 5,282.27 : x
  2. Step 2: Convert to fraction form
    6,101.18/9,129.90 = 5,282.27/x
  3. Step 3: Cross multiply
    6,101.18x = 9,129.90 × 5,282.27
  4. Step 4: Simplify right side
    6,101.18x = 48,226,596.87
  5. Step 5: Solve for x
    x = 48,226,596.87/6,101.18
  6. Step 6: Final answer
    x = 7,904.47

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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.