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Finding the Fourth Proportional to 9,876.83, 14,814.10 and 2,480.72

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Solution

The fourth proportional to 9,876.83, 14,814.10 and 2,480.72 is: 3,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.83 : 14,814.10 = 2,480.72 : x
  2. Step 2: Convert to fraction form
    9,876.83/14,814.10 = 2,480.72/x
  3. Step 3: Cross multiply
    9,876.83x = 14,814.10 × 2,480.72
  4. Step 4: Simplify right side
    9,876.83x = 36,749,688.18
  5. Step 5: Solve for x
    x = 36,749,688.18/9,876.83
  6. Step 6: Final answer
    x = 3,720.80

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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.