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Finding the Fourth Proportional to 9,904.61, 14,856.85 and 2,979.11

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Solution

The fourth proportional to 9,904.61, 14,856.85 and 2,979.11 is: 4,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.61 : 14,856.85 = 2,979.11 : x
  2. Step 2: Convert to fraction form
    9,904.61/14,856.85 = 2,979.11/x
  3. Step 3: Cross multiply
    9,904.61x = 14,856.85 × 2,979.11
  4. Step 4: Simplify right side
    9,904.61x = 44,260,231.27
  5. Step 5: Solve for x
    x = 44,260,231.27/9,904.61
  6. Step 6: Final answer
    x = 4,468.65

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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.