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Finding the Fourth Proportional to 9,971.68, 13,760.42 and 5,494.70

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Solution

The fourth proportional to 9,971.68, 13,760.42 and 5,494.70 is: 7,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.68 : 13,760.42 = 5,494.70 : x
  2. Step 2: Convert to fraction form
    9,971.68/13,760.42 = 5,494.70/x
  3. Step 3: Cross multiply
    9,971.68x = 13,760.42 × 5,494.70
  4. Step 4: Simplify right side
    9,971.68x = 75,609,379.77
  5. Step 5: Solve for x
    x = 75,609,379.77/9,971.68
  6. Step 6: Final answer
    x = 7,582.41

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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.