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Finding the Fourth Proportional to 9,827.95, 14,748 and 3,984.61

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Solution

The fourth proportional to 9,827.95, 14,748 and 3,984.61 is: 5,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.95 : 14,748 = 3,984.61 : x
  2. Step 2: Convert to fraction form
    9,827.95/14,748 = 3,984.61/x
  3. Step 3: Cross multiply
    9,827.95x = 14,748 × 3,984.61
  4. Step 4: Simplify right side
    9,827.95x = 58,765,028.28
  5. Step 5: Solve for x
    x = 58,765,028.28/9,827.95
  6. Step 6: Final answer
    x = 5,979.38

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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.