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Finding the Fourth Proportional to 6,718.04, 9,275.42 and 6,007.68

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Solution

The fourth proportional to 6,718.04, 9,275.42 and 6,007.68 is: 8,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.04 : 9,275.42 = 6,007.68 : x
  2. Step 2: Convert to fraction form
    6,718.04/9,275.42 = 6,007.68/x
  3. Step 3: Cross multiply
    6,718.04x = 9,275.42 × 6,007.68
  4. Step 4: Simplify right side
    6,718.04x = 55,723,755.23
  5. Step 5: Solve for x
    x = 55,723,755.23/6,718.04
  6. Step 6: Final answer
    x = 8,294.64

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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.