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Finding the Fourth Proportional to 9,025.81, 12,456.78 and 5,047.14

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Solution

The fourth proportional to 9,025.81, 12,456.78 and 5,047.14 is: 6,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.81 : 12,456.78 = 5,047.14 : x
  2. Step 2: Convert to fraction form
    9,025.81/12,456.78 = 5,047.14/x
  3. Step 3: Cross multiply
    9,025.81x = 12,456.78 × 5,047.14
  4. Step 4: Simplify right side
    9,025.81x = 62,871,099.99
  5. Step 5: Solve for x
    x = 62,871,099.99/9,025.81
  6. Step 6: Final answer
    x = 6,965.70

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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.