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Finding the Fourth Proportional to 9,399.68, 14,080.34 and 4,454.30

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Solution

The fourth proportional to 9,399.68, 14,080.34 and 4,454.30 is: 6,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.68 : 14,080.34 = 4,454.30 : x
  2. Step 2: Convert to fraction form
    9,399.68/14,080.34 = 4,454.30/x
  3. Step 3: Cross multiply
    9,399.68x = 14,080.34 × 4,454.30
  4. Step 4: Simplify right side
    9,399.68x = 62,718,058.46
  5. Step 5: Solve for x
    x = 62,718,058.46/9,399.68
  6. Step 6: Final answer
    x = 6,672.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.