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Finding the Fourth Proportional to 9,768.32, 14,652.31 and 3,104.79

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Solution

The fourth proportional to 9,768.32, 14,652.31 and 3,104.79 is: 4,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.32 : 14,652.31 = 3,104.79 : x
  2. Step 2: Convert to fraction form
    9,768.32/14,652.31 = 3,104.79/x
  3. Step 3: Cross multiply
    9,768.32x = 14,652.31 × 3,104.79
  4. Step 4: Simplify right side
    9,768.32x = 45,492,256.78
  5. Step 5: Solve for x
    x = 45,492,256.78/9,768.32
  6. Step 6: Final answer
    x = 4,657.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.