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Finding the Fourth Proportional to 9,491.26, 13,097.78 and 5,514.60

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Solution

The fourth proportional to 9,491.26, 13,097.78 and 5,514.60 is: 7,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.26 : 13,097.78 = 5,514.60 : x
  2. Step 2: Convert to fraction form
    9,491.26/13,097.78 = 5,514.60/x
  3. Step 3: Cross multiply
    9,491.26x = 13,097.78 × 5,514.60
  4. Step 4: Simplify right side
    9,491.26x = 72,229,017.59
  5. Step 5: Solve for x
    x = 72,229,017.59/9,491.26
  6. Step 6: Final answer
    x = 7,610.06

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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.