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Finding the Fourth Proportional to 9,971.07, 13,760.24 and 5,494.76

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Solution

The fourth proportional to 9,971.07, 13,760.24 and 5,494.76 is: 7,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.07 : 13,760.24 = 5,494.76 : x
  2. Step 2: Convert to fraction form
    9,971.07/13,760.24 = 5,494.76/x
  3. Step 3: Cross multiply
    9,971.07x = 13,760.24 × 5,494.76
  4. Step 4: Simplify right side
    9,971.07x = 75,609,216.34
  5. Step 5: Solve for x
    x = 75,609,216.34/9,971.07
  6. Step 6: Final answer
    x = 7,582.86

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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.