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Finding the Fourth Proportional to 6,401.93, 9,602.89 and 2,503.61

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Solution

The fourth proportional to 6,401.93, 9,602.89 and 2,503.61 is: 3,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.93 : 9,602.89 = 2,503.61 : x
  2. Step 2: Convert to fraction form
    6,401.93/9,602.89 = 2,503.61/x
  3. Step 3: Cross multiply
    6,401.93x = 9,602.89 × 2,503.61
  4. Step 4: Simplify right side
    6,401.93x = 24,041,837.16
  5. Step 5: Solve for x
    x = 24,041,837.16/6,401.93
  6. Step 6: Final answer
    x = 3,755.40

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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.