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Finding the Fourth Proportional to 7,074.63, 9,763.19 and 3,931.02

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Solution

The fourth proportional to 7,074.63, 9,763.19 and 3,931.02 is: 5,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.63 : 9,763.19 = 3,931.02 : x
  2. Step 2: Convert to fraction form
    7,074.63/9,763.19 = 3,931.02/x
  3. Step 3: Cross multiply
    7,074.63x = 9,763.19 × 3,931.02
  4. Step 4: Simplify right side
    7,074.63x = 38,379,295.15
  5. Step 5: Solve for x
    x = 38,379,295.15/7,074.63
  6. Step 6: Final answer
    x = 5,424.92

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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.