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Finding the Fourth Proportional to 6,082.47, 9,117.63 and 5,246.15

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Solution

The fourth proportional to 6,082.47, 9,117.63 and 5,246.15 is: 7,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.47 : 9,117.63 = 5,246.15 : x
  2. Step 2: Convert to fraction form
    6,082.47/9,117.63 = 5,246.15/x
  3. Step 3: Cross multiply
    6,082.47x = 9,117.63 × 5,246.15
  4. Step 4: Simplify right side
    6,082.47x = 47,832,409.04
  5. Step 5: Solve for x
    x = 47,832,409.04/6,082.47
  6. Step 6: Final answer
    x = 7,863.98

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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.