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Finding the Fourth Proportional to 6,947.84, 9,589.52 and 4,429.38

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Solution

The fourth proportional to 6,947.84, 9,589.52 and 4,429.38 is: 6,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.84 : 9,589.52 = 4,429.38 : x
  2. Step 2: Convert to fraction form
    6,947.84/9,589.52 = 4,429.38/x
  3. Step 3: Cross multiply
    6,947.84x = 9,589.52 × 4,429.38
  4. Step 4: Simplify right side
    6,947.84x = 42,475,675.13
  5. Step 5: Solve for x
    x = 42,475,675.13/6,947.84
  6. Step 6: Final answer
    x = 6,113.51

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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.