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Finding the Fourth Proportional to 9,124.88, 13,686.17 and 2,884.38

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Solution

The fourth proportional to 9,124.88, 13,686.17 and 2,884.38 is: 4,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.88 : 13,686.17 = 2,884.38 : x
  2. Step 2: Convert to fraction form
    9,124.88/13,686.17 = 2,884.38/x
  3. Step 3: Cross multiply
    9,124.88x = 13,686.17 × 2,884.38
  4. Step 4: Simplify right side
    9,124.88x = 39,476,164.76
  5. Step 5: Solve for x
    x = 39,476,164.76/9,124.88
  6. Step 6: Final answer
    x = 4,326.21

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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.