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Finding the Fourth Proportional to 6,402.98, 9,602.39 and 2,454.03

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Solution

The fourth proportional to 6,402.98, 9,602.39 and 2,454.03 is: 3,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.98 : 9,602.39 = 2,454.03 : x
  2. Step 2: Convert to fraction form
    6,402.98/9,602.39 = 2,454.03/x
  3. Step 3: Cross multiply
    6,402.98x = 9,602.39 × 2,454.03
  4. Step 4: Simplify right side
    6,402.98x = 23,564,559.27
  5. Step 5: Solve for x
    x = 23,564,559.27/6,402.98
  6. Step 6: Final answer
    x = 3,680.25

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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.