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Finding the Fourth Proportional to 7,128.42, 9,837.14 and 3,941.93

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Solution

The fourth proportional to 7,128.42, 9,837.14 and 3,941.93 is: 5,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.42 : 9,837.14 = 3,941.93 : x
  2. Step 2: Convert to fraction form
    7,128.42/9,837.14 = 3,941.93/x
  3. Step 3: Cross multiply
    7,128.42x = 9,837.14 × 3,941.93
  4. Step 4: Simplify right side
    7,128.42x = 38,777,248.38
  5. Step 5: Solve for x
    x = 38,777,248.38/7,128.42
  6. Step 6: Final answer
    x = 5,439.81

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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.