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Finding the Fourth Proportional to 7,218.06, 9,959.22 and 4,234.20

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Solution

The fourth proportional to 7,218.06, 9,959.22 and 4,234.20 is: 5,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.06 : 9,959.22 = 4,234.20 : x
  2. Step 2: Convert to fraction form
    7,218.06/9,959.22 = 4,234.20/x
  3. Step 3: Cross multiply
    7,218.06x = 9,959.22 × 4,234.20
  4. Step 4: Simplify right side
    7,218.06x = 42,169,329.32
  5. Step 5: Solve for x
    x = 42,169,329.32/7,218.06
  6. Step 6: Final answer
    x = 5,842.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.