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Finding the Fourth Proportional to 7,234.22, 9,977.27 and 6,080.06

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Solution

The fourth proportional to 7,234.22, 9,977.27 and 6,080.06 is: 8,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.22 : 9,977.27 = 6,080.06 : x
  2. Step 2: Convert to fraction form
    7,234.22/9,977.27 = 6,080.06/x
  3. Step 3: Cross multiply
    7,234.22x = 9,977.27 × 6,080.06
  4. Step 4: Simplify right side
    7,234.22x = 60,662,319.95
  5. Step 5: Solve for x
    x = 60,662,319.95/7,234.22
  6. Step 6: Final answer
    x = 8,385.47

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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.