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Finding the Fourth Proportional to 6,337.58, 9,502.32 and 3,044.12

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Solution

The fourth proportional to 6,337.58, 9,502.32 and 3,044.12 is: 4,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.58 : 9,502.32 = 3,044.12 : x
  2. Step 2: Convert to fraction form
    6,337.58/9,502.32 = 3,044.12/x
  3. Step 3: Cross multiply
    6,337.58x = 9,502.32 × 3,044.12
  4. Step 4: Simplify right side
    6,337.58x = 28,926,202.36
  5. Step 5: Solve for x
    x = 28,926,202.36/6,337.58
  6. Step 6: Final answer
    x = 4,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.