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Finding the Fourth Proportional to 6,505.88, 9,760.91 and 2,345.85

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Solution

The fourth proportional to 6,505.88, 9,760.91 and 2,345.85 is: 3,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.88 : 9,760.91 = 2,345.85 : x
  2. Step 2: Convert to fraction form
    6,505.88/9,760.91 = 2,345.85/x
  3. Step 3: Cross multiply
    6,505.88x = 9,760.91 × 2,345.85
  4. Step 4: Simplify right side
    6,505.88x = 22,897,618.99
  5. Step 5: Solve for x
    x = 22,897,618.99/6,505.88
  6. Step 6: Final answer
    x = 3,519.53

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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.