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Finding the Fourth Proportional to 9,082.76, 12,530.58 and 5,724.68

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Solution

The fourth proportional to 9,082.76, 12,530.58 and 5,724.68 is: 7,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.76 : 12,530.58 = 5,724.68 : x
  2. Step 2: Convert to fraction form
    9,082.76/12,530.58 = 5,724.68/x
  3. Step 3: Cross multiply
    9,082.76x = 12,530.58 × 5,724.68
  4. Step 4: Simplify right side
    9,082.76x = 71,733,560.71
  5. Step 5: Solve for x
    x = 71,733,560.71/9,082.76
  6. Step 6: Final answer
    x = 7,897.77

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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.