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Finding the Fourth Proportional to 6,833.04, 9,429.12 and 4,038

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Solution

The fourth proportional to 6,833.04, 9,429.12 and 4,038 is: 5,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.04 : 9,429.12 = 4,038 : x
  2. Step 2: Convert to fraction form
    6,833.04/9,429.12 = 4,038/x
  3. Step 3: Cross multiply
    6,833.04x = 9,429.12 × 4,038
  4. Step 4: Simplify right side
    6,833.04x = 38,074,786.56
  5. Step 5: Solve for x
    x = 38,074,786.56/6,833.04
  6. Step 6: Final answer
    x = 5,572.16

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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.