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Finding the Fourth Proportional to 6,914.19, 9,465.25 and 6,864.78

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Solution

The fourth proportional to 6,914.19, 9,465.25 and 6,864.78 is: 9,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.19 : 9,465.25 = 6,864.78 : x
  2. Step 2: Convert to fraction form
    6,914.19/9,465.25 = 6,864.78/x
  3. Step 3: Cross multiply
    6,914.19x = 9,465.25 × 6,864.78
  4. Step 4: Simplify right side
    6,914.19x = 64,976,824.57
  5. Step 5: Solve for x
    x = 64,976,824.57/6,914.19
  6. Step 6: Final answer
    x = 9,397.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.