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Finding the Fourth Proportional to 6,349.74, 9,521.97 and 2,400.31

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Solution

The fourth proportional to 6,349.74, 9,521.97 and 2,400.31 is: 3,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.74 : 9,521.97 = 2,400.31 : x
  2. Step 2: Convert to fraction form
    6,349.74/9,521.97 = 2,400.31/x
  3. Step 3: Cross multiply
    6,349.74x = 9,521.97 × 2,400.31
  4. Step 4: Simplify right side
    6,349.74x = 22,855,679.81
  5. Step 5: Solve for x
    x = 22,855,679.81/6,349.74
  6. Step 6: Final answer
    x = 3,599.47

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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.