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Finding the Fourth Proportional to 9,938.88, 14,910.12 and 4,092.30

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Solution

The fourth proportional to 9,938.88, 14,910.12 and 4,092.30 is: 6,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.88 : 14,910.12 = 4,092.30 : x
  2. Step 2: Convert to fraction form
    9,938.88/14,910.12 = 4,092.30/x
  3. Step 3: Cross multiply
    9,938.88x = 14,910.12 × 4,092.30
  4. Step 4: Simplify right side
    9,938.88x = 61,016,684.08
  5. Step 5: Solve for x
    x = 61,016,684.08/9,938.88
  6. Step 6: Final answer
    x = 6,139.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.