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Finding the Fourth Proportional to 9,862.85, 13,611.03 and 5,386.83

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Solution

The fourth proportional to 9,862.85, 13,611.03 and 5,386.83 is: 7,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.85 : 13,611.03 = 5,386.83 : x
  2. Step 2: Convert to fraction form
    9,862.85/13,611.03 = 5,386.83/x
  3. Step 3: Cross multiply
    9,862.85x = 13,611.03 × 5,386.83
  4. Step 4: Simplify right side
    9,862.85x = 73,320,304.73
  5. Step 5: Solve for x
    x = 73,320,304.73/9,862.85
  6. Step 6: Final answer
    x = 7,433.99

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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.