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Finding the Fourth Proportional to 9,261.87, 13,882.78 and 3,712.36

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Solution

The fourth proportional to 9,261.87, 13,882.78 and 3,712.36 is: 5,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.87 : 13,882.78 = 3,712.36 : x
  2. Step 2: Convert to fraction form
    9,261.87/13,882.78 = 3,712.36/x
  3. Step 3: Cross multiply
    9,261.87x = 13,882.78 × 3,712.36
  4. Step 4: Simplify right side
    9,261.87x = 51,537,877.16
  5. Step 5: Solve for x
    x = 51,537,877.16/9,261.87
  6. Step 6: Final answer
    x = 5,564.52

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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.