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Finding the Fourth Proportional to 7,074.84, 9,763.28 and 3,931.03

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Solution

The fourth proportional to 7,074.84, 9,763.28 and 3,931.03 is: 5,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.84 : 9,763.28 = 3,931.03 : x
  2. Step 2: Convert to fraction form
    7,074.84/9,763.28 = 3,931.03/x
  3. Step 3: Cross multiply
    7,074.84x = 9,763.28 × 3,931.03
  4. Step 4: Simplify right side
    7,074.84x = 38,379,775.98
  5. Step 5: Solve for x
    x = 38,379,775.98/7,074.84
  6. Step 6: Final answer
    x = 5,424.82

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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.