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Finding the Fourth Proportional to 9,256.75, 12,774.59 and 5,065.27

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Solution

The fourth proportional to 9,256.75, 12,774.59 and 5,065.27 is: 6,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.75 : 12,774.59 = 5,065.27 : x
  2. Step 2: Convert to fraction form
    9,256.75/12,774.59 = 5,065.27/x
  3. Step 3: Cross multiply
    9,256.75x = 12,774.59 × 5,065.27
  4. Step 4: Simplify right side
    9,256.75x = 64,706,747.49
  5. Step 5: Solve for x
    x = 64,706,747.49/9,256.75
  6. Step 6: Final answer
    x = 6,990.22

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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.