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Finding the Fourth Proportional to 7,222.10, 9,967.73 and 6,042.74

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Solution

The fourth proportional to 7,222.10, 9,967.73 and 6,042.74 is: 8,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.10 : 9,967.73 = 6,042.74 : x
  2. Step 2: Convert to fraction form
    7,222.10/9,967.73 = 6,042.74/x
  3. Step 3: Cross multiply
    7,222.10x = 9,967.73 × 6,042.74
  4. Step 4: Simplify right side
    7,222.10x = 60,232,320.73
  5. Step 5: Solve for x
    x = 60,232,320.73/7,222.10
  6. Step 6: Final answer
    x = 8,340.01

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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.