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Finding the Fourth Proportional to 9,417.88, 12,997.30 and 5,439.16

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Solution

The fourth proportional to 9,417.88, 12,997.30 and 5,439.16 is: 7,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.88 : 12,997.30 = 5,439.16 : x
  2. Step 2: Convert to fraction form
    9,417.88/12,997.30 = 5,439.16/x
  3. Step 3: Cross multiply
    9,417.88x = 12,997.30 × 5,439.16
  4. Step 4: Simplify right side
    9,417.88x = 70,694,394.27
  5. Step 5: Solve for x
    x = 70,694,394.27/9,417.88
  6. Step 6: Final answer
    x = 7,506.40

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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.