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Finding the Fourth Proportional to 9,989.20, 13,776.20 and 6,448.69

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Solution

The fourth proportional to 9,989.20, 13,776.20 and 6,448.69 is: 8,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.20 : 13,776.20 = 6,448.69 : x
  2. Step 2: Convert to fraction form
    9,989.20/13,776.20 = 6,448.69/x
  3. Step 3: Cross multiply
    9,989.20x = 13,776.20 × 6,448.69
  4. Step 4: Simplify right side
    9,989.20x = 88,838,376.49
  5. Step 5: Solve for x
    x = 88,838,376.49/9,989.20
  6. Step 6: Final answer
    x = 8,893.44

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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.