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Finding the Fourth Proportional to 9,600.78, 14,402.34 and 2,675.28

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Solution

The fourth proportional to 9,600.78, 14,402.34 and 2,675.28 is: 4,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.78 : 14,402.34 = 2,675.28 : x
  2. Step 2: Convert to fraction form
    9,600.78/14,402.34 = 2,675.28/x
  3. Step 3: Cross multiply
    9,600.78x = 14,402.34 × 2,675.28
  4. Step 4: Simplify right side
    9,600.78x = 38,530,292.16
  5. Step 5: Solve for x
    x = 38,530,292.16/9,600.78
  6. Step 6: Final answer
    x = 4,013.25

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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.