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Finding the Fourth Proportional to 6,129.61, 9,181.45 and 5,087.14

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Solution

The fourth proportional to 6,129.61, 9,181.45 and 5,087.14 is: 7,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.61 : 9,181.45 = 5,087.14 : x
  2. Step 2: Convert to fraction form
    6,129.61/9,181.45 = 5,087.14/x
  3. Step 3: Cross multiply
    6,129.61x = 9,181.45 × 5,087.14
  4. Step 4: Simplify right side
    6,129.61x = 46,707,321.55
  5. Step 5: Solve for x
    x = 46,707,321.55/6,129.61
  6. Step 6: Final answer
    x = 7,619.95

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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.