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Finding the Fourth Proportional to 9,700.12, 14,540.22 and 5,531.60

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Solution

The fourth proportional to 9,700.12, 14,540.22 and 5,531.60 is: 8,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.12 : 14,540.22 = 5,531.60 : x
  2. Step 2: Convert to fraction form
    9,700.12/14,540.22 = 5,531.60/x
  3. Step 3: Cross multiply
    9,700.12x = 14,540.22 × 5,531.60
  4. Step 4: Simplify right side
    9,700.12x = 80,430,680.95
  5. Step 5: Solve for x
    x = 80,430,680.95/9,700.12
  6. Step 6: Final answer
    x = 8,291.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.