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Finding the Fourth Proportional to 6,975.72, 9,613.15 and 6,847.61

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Solution

The fourth proportional to 6,975.72, 9,613.15 and 6,847.61 is: 9,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.72 : 9,613.15 = 6,847.61 : x
  2. Step 2: Convert to fraction form
    6,975.72/9,613.15 = 6,847.61/x
  3. Step 3: Cross multiply
    6,975.72x = 9,613.15 × 6,847.61
  4. Step 4: Simplify right side
    6,975.72x = 65,827,036.89
  5. Step 5: Solve for x
    x = 65,827,036.89/6,975.72
  6. Step 6: Final answer
    x = 9,436.59

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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.