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Finding the Fourth Proportional to 7,106.38, 9,801.72 and 4,744.42

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Solution

The fourth proportional to 7,106.38, 9,801.72 and 4,744.42 is: 6,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.38 : 9,801.72 = 4,744.42 : x
  2. Step 2: Convert to fraction form
    7,106.38/9,801.72 = 4,744.42/x
  3. Step 3: Cross multiply
    7,106.38x = 9,801.72 × 4,744.42
  4. Step 4: Simplify right side
    7,106.38x = 46,503,476.40
  5. Step 5: Solve for x
    x = 46,503,476.40/7,106.38
  6. Step 6: Final answer
    x = 6,543.91

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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.