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Finding the Fourth Proportional to 9,728.02, 14,591.49 and 2,802.52

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Solution

The fourth proportional to 9,728.02, 14,591.49 and 2,802.52 is: 4,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.02 : 14,591.49 = 2,802.52 : x
  2. Step 2: Convert to fraction form
    9,728.02/14,591.49 = 2,802.52/x
  3. Step 3: Cross multiply
    9,728.02x = 14,591.49 × 2,802.52
  4. Step 4: Simplify right side
    9,728.02x = 40,892,942.55
  5. Step 5: Solve for x
    x = 40,892,942.55/9,728.02
  6. Step 6: Final answer
    x = 4,203.62

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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.