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Finding the Fourth Proportional to 6,806.34, 9,397.26 and 4,452.66

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Solution

The fourth proportional to 6,806.34, 9,397.26 and 4,452.66 is: 6,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.34 : 9,397.26 = 4,452.66 : x
  2. Step 2: Convert to fraction form
    6,806.34/9,397.26 = 4,452.66/x
  3. Step 3: Cross multiply
    6,806.34x = 9,397.26 × 4,452.66
  4. Step 4: Simplify right side
    6,806.34x = 41,842,803.71
  5. Step 5: Solve for x
    x = 41,842,803.71/6,806.34
  6. Step 6: Final answer
    x = 6,147.62

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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.