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Finding the Fourth Proportional to 9,728.60, 14,592.92 and 2,803.12

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Solution

The fourth proportional to 9,728.60, 14,592.92 and 2,803.12 is: 4,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.60 : 14,592.92 = 2,803.12 : x
  2. Step 2: Convert to fraction form
    9,728.60/14,592.92 = 2,803.12/x
  3. Step 3: Cross multiply
    9,728.60x = 14,592.92 × 2,803.12
  4. Step 4: Simplify right side
    9,728.60x = 40,905,705.91
  5. Step 5: Solve for x
    x = 40,905,705.91/9,728.60
  6. Step 6: Final answer
    x = 4,204.69

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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.