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Finding the Fourth Proportional to 9,256.74, 12,774.15 and 5,277.84

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Solution

The fourth proportional to 9,256.74, 12,774.15 and 5,277.84 is: 7,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.74 : 12,774.15 = 5,277.84 : x
  2. Step 2: Convert to fraction form
    9,256.74/12,774.15 = 5,277.84/x
  3. Step 3: Cross multiply
    9,256.74x = 12,774.15 × 5,277.84
  4. Step 4: Simplify right side
    9,256.74x = 67,419,919.84
  5. Step 5: Solve for x
    x = 67,419,919.84/9,256.74
  6. Step 6: Final answer
    x = 7,283.33

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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.