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Finding the Fourth Proportional to 9,949.56, 13,730.46 and 5,473.60

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Solution

The fourth proportional to 9,949.56, 13,730.46 and 5,473.60 is: 7,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.56 : 13,730.46 = 5,473.60 : x
  2. Step 2: Convert to fraction form
    9,949.56/13,730.46 = 5,473.60/x
  3. Step 3: Cross multiply
    9,949.56x = 13,730.46 × 5,473.60
  4. Step 4: Simplify right side
    9,949.56x = 75,155,045.86
  5. Step 5: Solve for x
    x = 75,155,045.86/9,949.56
  6. Step 6: Final answer
    x = 7,553.60

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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.