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Finding the Fourth Proportional to 6,414.52, 8,856.12 and 5,238.40

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Solution

The fourth proportional to 6,414.52, 8,856.12 and 5,238.40 is: 7,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.52 : 8,856.12 = 5,238.40 : x
  2. Step 2: Convert to fraction form
    6,414.52/8,856.12 = 5,238.40/x
  3. Step 3: Cross multiply
    6,414.52x = 8,856.12 × 5,238.40
  4. Step 4: Simplify right side
    6,414.52x = 46,391,899.01
  5. Step 5: Solve for x
    x = 46,391,899.01/6,414.52
  6. Step 6: Final answer
    x = 7,232.33

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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.