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Finding the Fourth Proportional to 9,728.56, 14,592.92 and 4,181.52

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Solution

The fourth proportional to 9,728.56, 14,592.92 and 4,181.52 is: 6,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.56 : 14,592.92 = 4,181.52 : x
  2. Step 2: Convert to fraction form
    9,728.56/14,592.92 = 4,181.52/x
  3. Step 3: Cross multiply
    9,728.56x = 14,592.92 × 4,181.52
  4. Step 4: Simplify right side
    9,728.56x = 61,020,586.84
  5. Step 5: Solve for x
    x = 61,020,586.84/9,728.56
  6. Step 6: Final answer
    x = 6,272.31

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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.