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Finding the Fourth Proportional to 9,259.38, 12,752.29 and 8,000.03

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Solution

The fourth proportional to 9,259.38, 12,752.29 and 8,000.03 is: 11,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.38 : 12,752.29 = 8,000.03 : x
  2. Step 2: Convert to fraction form
    9,259.38/12,752.29 = 8,000.03/x
  3. Step 3: Cross multiply
    9,259.38x = 12,752.29 × 8,000.03
  4. Step 4: Simplify right side
    9,259.38x = 102,018,744.45
  5. Step 5: Solve for x
    x = 102,018,744.45/9,259.38
  6. Step 6: Final answer
    x = 11,017.88

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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.