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Finding the Fourth Proportional to 27,832.44, 41,752.98 and 9,363

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Solution

The fourth proportional to 27,832.44, 41,752.98 and 9,363 is: 14,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.44 : 41,752.98 = 9,363 : x
  2. Step 2: Convert to fraction form
    27,832.44/41,752.98 = 9,363/x
  3. Step 3: Cross multiply
    27,832.44x = 41,752.98 × 9,363
  4. Step 4: Simplify right side
    27,832.44x = 390,933,151.74
  5. Step 5: Solve for x
    x = 390,933,151.74/27,832.44
  6. Step 6: Final answer
    x = 14,045.95

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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.