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Finding the Fourth Proportional to 9,675.20, 13,348.80 and 6,266.81

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Solution

The fourth proportional to 9,675.20, 13,348.80 and 6,266.81 is: 8,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.20 : 13,348.80 = 6,266.81 : x
  2. Step 2: Convert to fraction form
    9,675.20/13,348.80 = 6,266.81/x
  3. Step 3: Cross multiply
    9,675.20x = 13,348.80 × 6,266.81
  4. Step 4: Simplify right side
    9,675.20x = 83,654,393.33
  5. Step 5: Solve for x
    x = 83,654,393.33/9,675.20
  6. Step 6: Final answer
    x = 8,646.27

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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.