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Finding the Fourth Proportional to 6,234.40, 9,335.40 and 4,031.20

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Solution

The fourth proportional to 6,234.40, 9,335.40 and 4,031.20 is: 6,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.40 : 9,335.40 = 4,031.20 : x
  2. Step 2: Convert to fraction form
    6,234.40/9,335.40 = 4,031.20/x
  3. Step 3: Cross multiply
    6,234.40x = 9,335.40 × 4,031.20
  4. Step 4: Simplify right side
    6,234.40x = 37,632,864.48
  5. Step 5: Solve for x
    x = 37,632,864.48/6,234.40
  6. Step 6: Final answer
    x = 6,036.32

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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.