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Finding the Fourth Proportional to 9,512.80, 13,140.21 and 7,302.00

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Solution

The fourth proportional to 9,512.80, 13,140.21 and 7,302.00 is: 10,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.80 : 13,140.21 = 7,302.00 : x
  2. Step 2: Convert to fraction form
    9,512.80/13,140.21 = 7,302.00/x
  3. Step 3: Cross multiply
    9,512.80x = 13,140.21 × 7,302.00
  4. Step 4: Simplify right side
    9,512.80x = 95,949,780.57
  5. Step 5: Solve for x
    x = 95,949,780.57/9,512.80
  6. Step 6: Final answer
    x = 10,086.38

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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.