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Finding the Fourth Proportional to 6,490.11, 9,737.85 and 3,111.19

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Solution

The fourth proportional to 6,490.11, 9,737.85 and 3,111.19 is: 4,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.11 : 9,737.85 = 3,111.19 : x
  2. Step 2: Convert to fraction form
    6,490.11/9,737.85 = 3,111.19/x
  3. Step 3: Cross multiply
    6,490.11x = 9,737.85 × 3,111.19
  4. Step 4: Simplify right side
    6,490.11x = 30,296,343.64
  5. Step 5: Solve for x
    x = 30,296,343.64/6,490.11
  6. Step 6: Final answer
    x = 4,668.08

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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.