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Finding the Fourth Proportional to 6,971.49, 9,613.80 and 6,395.24

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Solution

The fourth proportional to 6,971.49, 9,613.80 and 6,395.24 is: 8,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.49 : 9,613.80 = 6,395.24 : x
  2. Step 2: Convert to fraction form
    6,971.49/9,613.80 = 6,395.24/x
  3. Step 3: Cross multiply
    6,971.49x = 9,613.80 × 6,395.24
  4. Step 4: Simplify right side
    6,971.49x = 61,482,510.24
  5. Step 5: Solve for x
    x = 61,482,510.24/6,971.49
  6. Step 6: Final answer
    x = 8,819.13

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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.