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Finding the Fourth Proportional to 9,125.88, 13,689.69 and 4,196.89

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Solution

The fourth proportional to 9,125.88, 13,689.69 and 4,196.89 is: 6,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.88 : 13,689.69 = 4,196.89 : x
  2. Step 2: Convert to fraction form
    9,125.88/13,689.69 = 4,196.89/x
  3. Step 3: Cross multiply
    9,125.88x = 13,689.69 × 4,196.89
  4. Step 4: Simplify right side
    9,125.88x = 57,454,123.06
  5. Step 5: Solve for x
    x = 57,454,123.06/9,125.88
  6. Step 6: Final answer
    x = 6,295.74

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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.