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Finding the Fourth Proportional to 9,990, 13,784.78 and 5,513.54

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Solution

The fourth proportional to 9,990, 13,784.78 and 5,513.54 is: 7,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990 : 13,784.78 = 5,513.54 : x
  2. Step 2: Convert to fraction form
    9,990/13,784.78 = 5,513.54/x
  3. Step 3: Cross multiply
    9,990x = 13,784.78 × 5,513.54
  4. Step 4: Simplify right side
    9,990x = 76,002,880.78
  5. Step 5: Solve for x
    x = 76,002,880.78/9,990
  6. Step 6: Final answer
    x = 7,607.90

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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.