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Finding the Fourth Proportional to 9,256.32, 12,774.01 and 5,064.57

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Solution

The fourth proportional to 9,256.32, 12,774.01 and 5,064.57 is: 6,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.32 : 12,774.01 = 5,064.57 : x
  2. Step 2: Convert to fraction form
    9,256.32/12,774.01 = 5,064.57/x
  3. Step 3: Cross multiply
    9,256.32x = 12,774.01 × 5,064.57
  4. Step 4: Simplify right side
    9,256.32x = 64,694,867.83
  5. Step 5: Solve for x
    x = 64,694,867.83/9,256.32
  6. Step 6: Final answer
    x = 6,989.26

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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.