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Finding the Fourth Proportional to 6,265.54, 8,646.33 and 3,613.06

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Solution

The fourth proportional to 6,265.54, 8,646.33 and 3,613.06 is: 4,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.54 : 8,646.33 = 3,613.06 : x
  2. Step 2: Convert to fraction form
    6,265.54/8,646.33 = 3,613.06/x
  3. Step 3: Cross multiply
    6,265.54x = 8,646.33 × 3,613.06
  4. Step 4: Simplify right side
    6,265.54x = 31,239,709.07
  5. Step 5: Solve for x
    x = 31,239,709.07/6,265.54
  6. Step 6: Final answer
    x = 4,985.96

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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.