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Finding the Fourth Proportional to 6,456.74, 9,685.79 and 2,297.13

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Solution

The fourth proportional to 6,456.74, 9,685.79 and 2,297.13 is: 3,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.74 : 9,685.79 = 2,297.13 : x
  2. Step 2: Convert to fraction form
    6,456.74/9,685.79 = 2,297.13/x
  3. Step 3: Cross multiply
    6,456.74x = 9,685.79 × 2,297.13
  4. Step 4: Simplify right side
    6,456.74x = 22,249,552.23
  5. Step 5: Solve for x
    x = 22,249,552.23/6,456.74
  6. Step 6: Final answer
    x = 3,445.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.