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Finding the Fourth Proportional to 9,815.97, 13,545.74 and 5,567.42

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Solution

The fourth proportional to 9,815.97, 13,545.74 and 5,567.42 is: 7,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.97 : 13,545.74 = 5,567.42 : x
  2. Step 2: Convert to fraction form
    9,815.97/13,545.74 = 5,567.42/x
  3. Step 3: Cross multiply
    9,815.97x = 13,545.74 × 5,567.42
  4. Step 4: Simplify right side
    9,815.97x = 75,414,728.23
  5. Step 5: Solve for x
    x = 75,414,728.23/9,815.97
  6. Step 6: Final answer
    x = 7,682.86

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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.