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Finding the Fourth Proportional to 6,215.26, 9,371.70 and 5,698.70

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Solution

The fourth proportional to 6,215.26, 9,371.70 and 5,698.70 is: 8,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.26 : 9,371.70 = 5,698.70 : x
  2. Step 2: Convert to fraction form
    6,215.26/9,371.70 = 5,698.70/x
  3. Step 3: Cross multiply
    6,215.26x = 9,371.70 × 5,698.70
  4. Step 4: Simplify right side
    6,215.26x = 53,406,506.79
  5. Step 5: Solve for x
    x = 53,406,506.79/6,215.26
  6. Step 6: Final answer
    x = 8,592.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.