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Finding the Fourth Proportional to 9,678.08, 13,358.22 and 5,488.76

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Solution

The fourth proportional to 9,678.08, 13,358.22 and 5,488.76 is: 7,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.08 : 13,358.22 = 5,488.76 : x
  2. Step 2: Convert to fraction form
    9,678.08/13,358.22 = 5,488.76/x
  3. Step 3: Cross multiply
    9,678.08x = 13,358.22 × 5,488.76
  4. Step 4: Simplify right side
    9,678.08x = 73,320,063.61
  5. Step 5: Solve for x
    x = 73,320,063.61/9,678.08
  6. Step 6: Final answer
    x = 7,575.89

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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.