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Finding the Fourth Proportional to 9,980.42, 13,772.46 and 5,728.52

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Solution

The fourth proportional to 9,980.42, 13,772.46 and 5,728.52 is: 7,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.42 : 13,772.46 = 5,728.52 : x
  2. Step 2: Convert to fraction form
    9,980.42/13,772.46 = 5,728.52/x
  3. Step 3: Cross multiply
    9,980.42x = 13,772.46 × 5,728.52
  4. Step 4: Simplify right side
    9,980.42x = 78,895,868.47
  5. Step 5: Solve for x
    x = 78,895,868.47/9,980.42
  6. Step 6: Final answer
    x = 7,905.07

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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.