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Finding the Fourth Proportional to 9,700.12, 14,537.22 and 4,494.52

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Solution

The fourth proportional to 9,700.12, 14,537.22 and 4,494.52 is: 6,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.12 : 14,537.22 = 4,494.52 : x
  2. Step 2: Convert to fraction form
    9,700.12/14,537.22 = 4,494.52/x
  3. Step 3: Cross multiply
    9,700.12x = 14,537.22 × 4,494.52
  4. Step 4: Simplify right side
    9,700.12x = 65,337,826.03
  5. Step 5: Solve for x
    x = 65,337,826.03/9,700.12
  6. Step 6: Final answer
    x = 6,735.78

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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.