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Finding the Fourth Proportional to 6,814.65, 9,395.53 and 4,572.97

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Solution

The fourth proportional to 6,814.65, 9,395.53 and 4,572.97 is: 6,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.65 : 9,395.53 = 4,572.97 : x
  2. Step 2: Convert to fraction form
    6,814.65/9,395.53 = 4,572.97/x
  3. Step 3: Cross multiply
    6,814.65x = 9,395.53 × 4,572.97
  4. Step 4: Simplify right side
    6,814.65x = 42,965,476.82
  5. Step 5: Solve for x
    x = 42,965,476.82/6,814.65
  6. Step 6: Final answer
    x = 6,304.87

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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.