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Finding the Fourth Proportional to 9,396.17, 12,966.80 and 5,417.28

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Solution

The fourth proportional to 9,396.17, 12,966.80 and 5,417.28 is: 7,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.17 : 12,966.80 = 5,417.28 : x
  2. Step 2: Convert to fraction form
    9,396.17/12,966.80 = 5,417.28/x
  3. Step 3: Cross multiply
    9,396.17x = 12,966.80 × 5,417.28
  4. Step 4: Simplify right side
    9,396.17x = 70,244,789.69
  5. Step 5: Solve for x
    x = 70,244,789.69/9,396.17
  6. Step 6: Final answer
    x = 7,475.90

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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.