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Finding the Fourth Proportional to 9,488.70, 14,233.05 and 2,563.20

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Solution

The fourth proportional to 9,488.70, 14,233.05 and 2,563.20 is: 3,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.70 : 14,233.05 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    9,488.70/14,233.05 = 2,563.20/x
  3. Step 3: Cross multiply
    9,488.70x = 14,233.05 × 2,563.20
  4. Step 4: Simplify right side
    9,488.70x = 36,482,153.76
  5. Step 5: Solve for x
    x = 36,482,153.76/9,488.70
  6. Step 6: Final answer
    x = 3,844.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.