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Finding the Fourth Proportional to 9,256.50, 12,773.97 and 5,064.75

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Solution

The fourth proportional to 9,256.50, 12,773.97 and 5,064.75 is: 6,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.50 : 12,773.97 = 5,064.75 : x
  2. Step 2: Convert to fraction form
    9,256.50/12,773.97 = 5,064.75/x
  3. Step 3: Cross multiply
    9,256.50x = 12,773.97 × 5,064.75
  4. Step 4: Simplify right side
    9,256.50x = 64,696,964.56
  5. Step 5: Solve for x
    x = 64,696,964.56/9,256.50
  6. Step 6: Final answer
    x = 6,989.36

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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.