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Finding the Fourth Proportional to 9,001.46, 12,421.42 and 5,644.13

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Solution

The fourth proportional to 9,001.46, 12,421.42 and 5,644.13 is: 7,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.46 : 12,421.42 = 5,644.13 : x
  2. Step 2: Convert to fraction form
    9,001.46/12,421.42 = 5,644.13/x
  3. Step 3: Cross multiply
    9,001.46x = 12,421.42 × 5,644.13
  4. Step 4: Simplify right side
    9,001.46x = 70,108,033.05
  5. Step 5: Solve for x
    x = 70,108,033.05/9,001.46
  6. Step 6: Final answer
    x = 7,788.52

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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.