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Finding the Fourth Proportional to 6,568.26, 9,061.65 and 4,211.70

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Solution

The fourth proportional to 6,568.26, 9,061.65 and 4,211.70 is: 5,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.26 : 9,061.65 = 4,211.70 : x
  2. Step 2: Convert to fraction form
    6,568.26/9,061.65 = 4,211.70/x
  3. Step 3: Cross multiply
    6,568.26x = 9,061.65 × 4,211.70
  4. Step 4: Simplify right side
    6,568.26x = 38,164,951.31
  5. Step 5: Solve for x
    x = 38,164,951.31/6,568.26
  6. Step 6: Final answer
    x = 5,810.51

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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.