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Finding the Fourth Proportional to 9,488.01, 13,097.14 and 8,491.56

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Solution

The fourth proportional to 9,488.01, 13,097.14 and 8,491.56 is: 11,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.01 : 13,097.14 = 8,491.56 : x
  2. Step 2: Convert to fraction form
    9,488.01/13,097.14 = 8,491.56/x
  3. Step 3: Cross multiply
    9,488.01x = 13,097.14 × 8,491.56
  4. Step 4: Simplify right side
    9,488.01x = 111,215,105.88
  5. Step 5: Solve for x
    x = 111,215,105.88/9,488.01
  6. Step 6: Final answer
    x = 11,721.65

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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.