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Finding the Fourth Proportional to 9,919.84, 13,678.32 and 6,378.16

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Solution

The fourth proportional to 9,919.84, 13,678.32 and 6,378.16 is: 8,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.84 : 13,678.32 = 6,378.16 : x
  2. Step 2: Convert to fraction form
    9,919.84/13,678.32 = 6,378.16/x
  3. Step 3: Cross multiply
    9,919.84x = 13,678.32 × 6,378.16
  4. Step 4: Simplify right side
    9,919.84x = 87,242,513.49
  5. Step 5: Solve for x
    x = 87,242,513.49/9,919.84
  6. Step 6: Final answer
    x = 8,794.75

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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.