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Finding the Fourth Proportional to 9,989.39, 14,990.77 and 4,146.00

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Solution

The fourth proportional to 9,989.39, 14,990.77 and 4,146.00 is: 6,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.39 : 14,990.77 = 4,146.00 : x
  2. Step 2: Convert to fraction form
    9,989.39/14,990.77 = 4,146.00/x
  3. Step 3: Cross multiply
    9,989.39x = 14,990.77 × 4,146.00
  4. Step 4: Simplify right side
    9,989.39x = 62,151,793.82
  5. Step 5: Solve for x
    x = 62,151,793.82/9,989.39
  6. Step 6: Final answer
    x = 6,221.78

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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.