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Finding the Fourth Proportional to 9,909.05, 13,683.74 and 6,378.39

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Solution

The fourth proportional to 9,909.05, 13,683.74 and 6,378.39 is: 8,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.05 : 13,683.74 = 6,378.39 : x
  2. Step 2: Convert to fraction form
    9,909.05/13,683.74 = 6,378.39/x
  3. Step 3: Cross multiply
    9,909.05x = 13,683.74 × 6,378.39
  4. Step 4: Simplify right side
    9,909.05x = 87,280,198.49
  5. Step 5: Solve for x
    x = 87,280,198.49/9,909.05
  6. Step 6: Final answer
    x = 8,808.13

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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.