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Finding the Fourth Proportional to 9,036.87, 12,469.40 and 5,677.31

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Solution

The fourth proportional to 9,036.87, 12,469.40 and 5,677.31 is: 7,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.87 : 12,469.40 = 5,677.31 : x
  2. Step 2: Convert to fraction form
    9,036.87/12,469.40 = 5,677.31/x
  3. Step 3: Cross multiply
    9,036.87x = 12,469.40 × 5,677.31
  4. Step 4: Simplify right side
    9,036.87x = 70,792,605.34
  5. Step 5: Solve for x
    x = 70,792,605.34/9,036.87
  6. Step 6: Final answer
    x = 7,833.75

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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.