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Finding the Fourth Proportional to 9,274.64, 13,912.02 and 3,118.64

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Solution

The fourth proportional to 9,274.64, 13,912.02 and 3,118.64 is: 4,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.64 : 13,912.02 = 3,118.64 : x
  2. Step 2: Convert to fraction form
    9,274.64/13,912.02 = 3,118.64/x
  3. Step 3: Cross multiply
    9,274.64x = 13,912.02 × 3,118.64
  4. Step 4: Simplify right side
    9,274.64x = 43,386,582.05
  5. Step 5: Solve for x
    x = 43,386,582.05/9,274.64
  6. Step 6: Final answer
    x = 4,677.98

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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.