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Finding the Fourth Proportional to 6,192.42, 9,291 and 3,729

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Solution

The fourth proportional to 6,192.42, 9,291 and 3,729 is: 5,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.42 : 9,291 = 3,729 : x
  2. Step 2: Convert to fraction form
    6,192.42/9,291 = 3,729/x
  3. Step 3: Cross multiply
    6,192.42x = 9,291 × 3,729
  4. Step 4: Simplify right side
    6,192.42x = 34,646,139
  5. Step 5: Solve for x
    x = 34,646,139/6,192.42
  6. Step 6: Final answer
    x = 5,594.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.