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Finding the Fourth Proportional to 9,983.52, 14,968.80 and 5,055.48

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Solution

The fourth proportional to 9,983.52, 14,968.80 and 5,055.48 is: 7,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.52 : 14,968.80 = 5,055.48 : x
  2. Step 2: Convert to fraction form
    9,983.52/14,968.80 = 5,055.48/x
  3. Step 3: Cross multiply
    9,983.52x = 14,968.80 × 5,055.48
  4. Step 4: Simplify right side
    9,983.52x = 75,674,469.02
  5. Step 5: Solve for x
    x = 75,674,469.02/9,983.52
  6. Step 6: Final answer
    x = 7,579.94

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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.