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Finding the Fourth Proportional to 6,870.97, 9,488.28 and 6,502.69

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Solution

The fourth proportional to 6,870.97, 9,488.28 and 6,502.69 is: 8,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.97 : 9,488.28 = 6,502.69 : x
  2. Step 2: Convert to fraction form
    6,870.97/9,488.28 = 6,502.69/x
  3. Step 3: Cross multiply
    6,870.97x = 9,488.28 × 6,502.69
  4. Step 4: Simplify right side
    6,870.97x = 61,699,343.47
  5. Step 5: Solve for x
    x = 61,699,343.47/6,870.97
  6. Step 6: Final answer
    x = 8,979.71

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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.