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Finding the Fourth Proportional to 9,499.88, 14,253.92 and 5,116.46

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Solution

The fourth proportional to 9,499.88, 14,253.92 and 5,116.46 is: 7,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.88 : 14,253.92 = 5,116.46 : x
  2. Step 2: Convert to fraction form
    9,499.88/14,253.92 = 5,116.46/x
  3. Step 3: Cross multiply
    9,499.88x = 14,253.92 × 5,116.46
  4. Step 4: Simplify right side
    9,499.88x = 72,929,659.95
  5. Step 5: Solve for x
    x = 72,929,659.95/9,499.88
  6. Step 6: Final answer
    x = 7,676.90

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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.