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Finding the Fourth Proportional to 7,131.42, 9,841.38 and 3,987.60

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Solution

The fourth proportional to 7,131.42, 9,841.38 and 3,987.60 is: 5,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.42 : 9,841.38 = 3,987.60 : x
  2. Step 2: Convert to fraction form
    7,131.42/9,841.38 = 3,987.60/x
  3. Step 3: Cross multiply
    7,131.42x = 9,841.38 × 3,987.60
  4. Step 4: Simplify right side
    7,131.42x = 39,243,486.89
  5. Step 5: Solve for x
    x = 39,243,486.89/7,131.42
  6. Step 6: Final answer
    x = 5,502.90

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Why These Related Problems?

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