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Finding the Fourth Proportional to 9,324.10, 13,995.20 and 4,397.14

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Solution

The fourth proportional to 9,324.10, 13,995.20 and 4,397.14 is: 6,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.10 : 13,995.20 = 4,397.14 : x
  2. Step 2: Convert to fraction form
    9,324.10/13,995.20 = 4,397.14/x
  3. Step 3: Cross multiply
    9,324.10x = 13,995.20 × 4,397.14
  4. Step 4: Simplify right side
    9,324.10x = 61,538,853.73
  5. Step 5: Solve for x
    x = 61,538,853.73/9,324.10
  6. Step 6: Final answer
    x = 6,599.98

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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.