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Finding the Fourth Proportional to 9,082.47, 12,534.29 and 5,049.74

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Solution

The fourth proportional to 9,082.47, 12,534.29 and 5,049.74 is: 6,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.47 : 12,534.29 = 5,049.74 : x
  2. Step 2: Convert to fraction form
    9,082.47/12,534.29 = 5,049.74/x
  3. Step 3: Cross multiply
    9,082.47x = 12,534.29 × 5,049.74
  4. Step 4: Simplify right side
    9,082.47x = 63,294,905.58
  5. Step 5: Solve for x
    x = 63,294,905.58/9,082.47
  6. Step 6: Final answer
    x = 6,968.91

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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.