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Finding the Fourth Proportional to 9,675.13, 14,512.70 and 2,655.18

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Solution

The fourth proportional to 9,675.13, 14,512.70 and 2,655.18 is: 3,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.13 : 14,512.70 = 2,655.18 : x
  2. Step 2: Convert to fraction form
    9,675.13/14,512.70 = 2,655.18/x
  3. Step 3: Cross multiply
    9,675.13x = 14,512.70 × 2,655.18
  4. Step 4: Simplify right side
    9,675.13x = 38,533,744.95
  5. Step 5: Solve for x
    x = 38,533,744.95/9,675.13
  6. Step 6: Final answer
    x = 3,982.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.