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Finding the Fourth Proportional to 6,833.44, 9,428.64 and 4,348

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Solution

The fourth proportional to 6,833.44, 9,428.64 and 4,348 is: 5,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.44 : 9,428.64 = 4,348 : x
  2. Step 2: Convert to fraction form
    6,833.44/9,428.64 = 4,348/x
  3. Step 3: Cross multiply
    6,833.44x = 9,428.64 × 4,348
  4. Step 4: Simplify right side
    6,833.44x = 40,995,726.72
  5. Step 5: Solve for x
    x = 40,995,726.72/6,833.44
  6. Step 6: Final answer
    x = 5,999.28

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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.