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Finding the Fourth Proportional to 9,182.64, 13,774.02 and 2,257.14

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Solution

The fourth proportional to 9,182.64, 13,774.02 and 2,257.14 is: 3,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.64 : 13,774.02 = 2,257.14 : x
  2. Step 2: Convert to fraction form
    9,182.64/13,774.02 = 2,257.14/x
  3. Step 3: Cross multiply
    9,182.64x = 13,774.02 × 2,257.14
  4. Step 4: Simplify right side
    9,182.64x = 31,089,891.50
  5. Step 5: Solve for x
    x = 31,089,891.50/9,182.64
  6. Step 6: Final answer
    x = 3,385.72

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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.