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Finding the Fourth Proportional to 6,499.85, 9,740.41 and 5,032.13

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Solution

The fourth proportional to 6,499.85, 9,740.41 and 5,032.13 is: 7,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.85 : 9,740.41 = 5,032.13 : x
  2. Step 2: Convert to fraction form
    6,499.85/9,740.41 = 5,032.13/x
  3. Step 3: Cross multiply
    6,499.85x = 9,740.41 × 5,032.13
  4. Step 4: Simplify right side
    6,499.85x = 49,014,948.09
  5. Step 5: Solve for x
    x = 49,014,948.09/6,499.85
  6. Step 6: Final answer
    x = 7,540.94

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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.