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Finding the Fourth Proportional to 6,265.68, 8,646.98 and 3,613.20

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Solution

The fourth proportional to 6,265.68, 8,646.98 and 3,613.20 is: 4,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.68 : 8,646.98 = 3,613.20 : x
  2. Step 2: Convert to fraction form
    6,265.68/8,646.98 = 3,613.20/x
  3. Step 3: Cross multiply
    6,265.68x = 8,646.98 × 3,613.20
  4. Step 4: Simplify right side
    6,265.68x = 31,243,250.07
  5. Step 5: Solve for x
    x = 31,243,250.07/6,265.68
  6. Step 6: Final answer
    x = 4,986.41

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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.