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Finding the Fourth Proportional to 9,491.50, 13,098.13 and 5,514.85

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Solution

The fourth proportional to 9,491.50, 13,098.13 and 5,514.85 is: 7,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.50 : 13,098.13 = 5,514.85 : x
  2. Step 2: Convert to fraction form
    9,491.50/13,098.13 = 5,514.85/x
  3. Step 3: Cross multiply
    9,491.50x = 13,098.13 × 5,514.85
  4. Step 4: Simplify right side
    9,491.50x = 72,234,222.23
  5. Step 5: Solve for x
    x = 72,234,222.23/9,491.50
  6. Step 6: Final answer
    x = 7,610.41

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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.