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Finding the Fourth Proportional to 9,578.32, 13,213.72 and 6,921.52

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Solution

The fourth proportional to 9,578.32, 13,213.72 and 6,921.52 is: 9,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.32 : 13,213.72 = 6,921.52 : x
  2. Step 2: Convert to fraction form
    9,578.32/13,213.72 = 6,921.52/x
  3. Step 3: Cross multiply
    9,578.32x = 13,213.72 × 6,921.52
  4. Step 4: Simplify right side
    9,578.32x = 91,459,027.25
  5. Step 5: Solve for x
    x = 91,459,027.25/9,578.32
  6. Step 6: Final answer
    x = 9,548.55

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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.