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Finding the Fourth Proportional to 9,488.61, 14,230.43 and 2,823.31

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Solution

The fourth proportional to 9,488.61, 14,230.43 and 2,823.31 is: 4,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.61 : 14,230.43 = 2,823.31 : x
  2. Step 2: Convert to fraction form
    9,488.61/14,230.43 = 2,823.31/x
  3. Step 3: Cross multiply
    9,488.61x = 14,230.43 × 2,823.31
  4. Step 4: Simplify right side
    9,488.61x = 40,176,985.49
  5. Step 5: Solve for x
    x = 40,176,985.49/9,488.61
  6. Step 6: Final answer
    x = 4,234.23

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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.