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Finding the Fourth Proportional to 7,106.38, 9,805.14 and 4,272.82

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Solution

The fourth proportional to 7,106.38, 9,805.14 and 4,272.82 is: 5,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.38 : 9,805.14 = 4,272.82 : x
  2. Step 2: Convert to fraction form
    7,106.38/9,805.14 = 4,272.82/x
  3. Step 3: Cross multiply
    7,106.38x = 9,805.14 × 4,272.82
  4. Step 4: Simplify right side
    7,106.38x = 41,895,598.29
  5. Step 5: Solve for x
    x = 41,895,598.29/7,106.38
  6. Step 6: Final answer
    x = 5,895.49

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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.