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Finding the Fourth Proportional to 6,401.64, 9,605.57 and 2,894.07

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Solution

The fourth proportional to 6,401.64, 9,605.57 and 2,894.07 is: 4,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.64 : 9,605.57 = 2,894.07 : x
  2. Step 2: Convert to fraction form
    6,401.64/9,605.57 = 2,894.07/x
  3. Step 3: Cross multiply
    6,401.64x = 9,605.57 × 2,894.07
  4. Step 4: Simplify right side
    6,401.64x = 27,799,177.50
  5. Step 5: Solve for x
    x = 27,799,177.50/6,401.64
  6. Step 6: Final answer
    x = 4,342.51

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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.