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Finding the Fourth Proportional to 6,401.07, 9,605.52 and 2,505.51

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Solution

The fourth proportional to 6,401.07, 9,605.52 and 2,505.51 is: 3,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.07 : 9,605.52 = 2,505.51 : x
  2. Step 2: Convert to fraction form
    6,401.07/9,605.52 = 2,505.51/x
  3. Step 3: Cross multiply
    6,401.07x = 9,605.52 × 2,505.51
  4. Step 4: Simplify right side
    6,401.07x = 24,066,726.42
  5. Step 5: Solve for x
    x = 24,066,726.42/6,401.07
  6. Step 6: Final answer
    x = 3,759.80

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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.