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Finding the Fourth Proportional to 7,075.78, 9,764.22 and 3,931.90

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Solution

The fourth proportional to 7,075.78, 9,764.22 and 3,931.90 is: 5,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.78 : 9,764.22 = 3,931.90 : x
  2. Step 2: Convert to fraction form
    7,075.78/9,764.22 = 3,931.90/x
  3. Step 3: Cross multiply
    7,075.78x = 9,764.22 × 3,931.90
  4. Step 4: Simplify right side
    7,075.78x = 38,391,936.62
  5. Step 5: Solve for x
    x = 38,391,936.62/7,075.78
  6. Step 6: Final answer
    x = 5,425.82

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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.