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Finding the Fourth Proportional to 9,256.50, 12,774.24 and 5,065.02

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Solution

The fourth proportional to 9,256.50, 12,774.24 and 5,065.02 is: 6,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.50 : 12,774.24 = 5,065.02 : x
  2. Step 2: Convert to fraction form
    9,256.50/12,774.24 = 5,065.02/x
  3. Step 3: Cross multiply
    9,256.50x = 12,774.24 × 5,065.02
  4. Step 4: Simplify right side
    9,256.50x = 64,701,781.08
  5. Step 5: Solve for x
    x = 64,701,781.08/9,256.50
  6. Step 6: Final answer
    x = 6,989.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.