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Finding the Fourth Proportional to 6,031.74, 9,042.74 and 2,332.06

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Solution

The fourth proportional to 6,031.74, 9,042.74 and 2,332.06 is: 3,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.74 : 9,042.74 = 2,332.06 : x
  2. Step 2: Convert to fraction form
    6,031.74/9,042.74 = 2,332.06/x
  3. Step 3: Cross multiply
    6,031.74x = 9,042.74 × 2,332.06
  4. Step 4: Simplify right side
    6,031.74x = 21,088,212.24
  5. Step 5: Solve for x
    x = 21,088,212.24/6,031.74
  6. Step 6: Final answer
    x = 3,496.21

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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.