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Finding the Fourth Proportional to 9,917.64, 14,876.51 and 3,343.88

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Solution

The fourth proportional to 9,917.64, 14,876.51 and 3,343.88 is: 5,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.64 : 14,876.51 = 3,343.88 : x
  2. Step 2: Convert to fraction form
    9,917.64/14,876.51 = 3,343.88/x
  3. Step 3: Cross multiply
    9,917.64x = 14,876.51 × 3,343.88
  4. Step 4: Simplify right side
    9,917.64x = 49,745,303.54
  5. Step 5: Solve for x
    x = 49,745,303.54/9,917.64
  6. Step 6: Final answer
    x = 5,015.84

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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.