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Finding the Fourth Proportional to 9,768.41, 13,477.24 and 5,989.69

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Solution

The fourth proportional to 9,768.41, 13,477.24 and 5,989.69 is: 8,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.41 : 13,477.24 = 5,989.69 : x
  2. Step 2: Convert to fraction form
    9,768.41/13,477.24 = 5,989.69/x
  3. Step 3: Cross multiply
    9,768.41x = 13,477.24 × 5,989.69
  4. Step 4: Simplify right side
    9,768.41x = 80,724,392.32
  5. Step 5: Solve for x
    x = 80,724,392.32/9,768.41
  6. Step 6: Final answer
    x = 8,263.82

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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.