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Finding the Fourth Proportional to 9,876.54, 14,811.73 and 3,301.19

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Solution

The fourth proportional to 9,876.54, 14,811.73 and 3,301.19 is: 4,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.54 : 14,811.73 = 3,301.19 : x
  2. Step 2: Convert to fraction form
    9,876.54/14,811.73 = 3,301.19/x
  3. Step 3: Cross multiply
    9,876.54x = 14,811.73 × 3,301.19
  4. Step 4: Simplify right side
    9,876.54x = 48,896,334.96
  5. Step 5: Solve for x
    x = 48,896,334.96/9,876.54
  6. Step 6: Final answer
    x = 4,950.76

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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.