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Finding the Fourth Proportional to 9,488.49, 13,097.15 and 5,508.82

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Solution

The fourth proportional to 9,488.49, 13,097.15 and 5,508.82 is: 7,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.49 : 13,097.15 = 5,508.82 : x
  2. Step 2: Convert to fraction form
    9,488.49/13,097.15 = 5,508.82/x
  3. Step 3: Cross multiply
    9,488.49x = 13,097.15 × 5,508.82
  4. Step 4: Simplify right side
    9,488.49x = 72,149,841.86
  5. Step 5: Solve for x
    x = 72,149,841.86/9,488.49
  6. Step 6: Final answer
    x = 7,603.93

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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.