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Finding the Fourth Proportional to 9,396.32, 12,966.16 and 5,414.76

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Solution

The fourth proportional to 9,396.32, 12,966.16 and 5,414.76 is: 7,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.32 : 12,966.16 = 5,414.76 : x
  2. Step 2: Convert to fraction form
    9,396.32/12,966.16 = 5,414.76/x
  3. Step 3: Cross multiply
    9,396.32x = 12,966.16 × 5,414.76
  4. Step 4: Simplify right side
    9,396.32x = 70,208,644.52
  5. Step 5: Solve for x
    x = 70,208,644.52/9,396.32
  6. Step 6: Final answer
    x = 7,471.93

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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.