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Finding the Fourth Proportional to 9,973.12, 13,761.48 and 6,247.12

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Solution

The fourth proportional to 9,973.12, 13,761.48 and 6,247.12 is: 8,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.12 : 13,761.48 = 6,247.12 : x
  2. Step 2: Convert to fraction form
    9,973.12/13,761.48 = 6,247.12/x
  3. Step 3: Cross multiply
    9,973.12x = 13,761.48 × 6,247.12
  4. Step 4: Simplify right side
    9,973.12x = 85,969,616.94
  5. Step 5: Solve for x
    x = 85,969,616.94/9,973.12
  6. Step 6: Final answer
    x = 8,620.13

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