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Finding the Fourth Proportional to 9,989.45, 13,776.54 and 6,448.94

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Solution

The fourth proportional to 9,989.45, 13,776.54 and 6,448.94 is: 8,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.45 : 13,776.54 = 6,448.94 : x
  2. Step 2: Convert to fraction form
    9,989.45/13,776.54 = 6,448.94/x
  3. Step 3: Cross multiply
    9,989.45x = 13,776.54 × 6,448.94
  4. Step 4: Simplify right side
    9,989.45x = 88,844,079.87
  5. Step 5: Solve for x
    x = 88,844,079.87/9,989.45
  6. Step 6: Final answer
    x = 8,893.79

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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.