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Finding the Fourth Proportional to 9,971.77, 13,761.35 and 6,144.25

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Solution

The fourth proportional to 9,971.77, 13,761.35 and 6,144.25 is: 8,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.77 : 13,761.35 = 6,144.25 : x
  2. Step 2: Convert to fraction form
    9,971.77/13,761.35 = 6,144.25/x
  3. Step 3: Cross multiply
    9,971.77x = 13,761.35 × 6,144.25
  4. Step 4: Simplify right side
    9,971.77x = 84,553,174.74
  5. Step 5: Solve for x
    x = 84,553,174.74/9,971.77
  6. Step 6: Final answer
    x = 8,479.25

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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.