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Finding the Fourth Proportional to 7,031.74, 9,704.19 and 3,887.86

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Solution

The fourth proportional to 7,031.74, 9,704.19 and 3,887.86 is: 5,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.74 : 9,704.19 = 3,887.86 : x
  2. Step 2: Convert to fraction form
    7,031.74/9,704.19 = 3,887.86/x
  3. Step 3: Cross multiply
    7,031.74x = 9,704.19 × 3,887.86
  4. Step 4: Simplify right side
    7,031.74x = 37,728,532.13
  5. Step 5: Solve for x
    x = 37,728,532.13/7,031.74
  6. Step 6: Final answer
    x = 5,365.46

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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.