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Finding the Fourth Proportional to 9,001.80, 12,422.16 and 5,646.42

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Solution

The fourth proportional to 9,001.80, 12,422.16 and 5,646.42 is: 7,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.80 : 12,422.16 = 5,646.42 : x
  2. Step 2: Convert to fraction form
    9,001.80/12,422.16 = 5,646.42/x
  3. Step 3: Cross multiply
    9,001.80x = 12,422.16 × 5,646.42
  4. Step 4: Simplify right side
    9,001.80x = 70,140,732.67
  5. Step 5: Solve for x
    x = 70,140,732.67/9,001.80
  6. Step 6: Final answer
    x = 7,791.86

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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.