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Finding the Fourth Proportional to 9,683.84, 13,367.78 and 6,544.28

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Solution

The fourth proportional to 9,683.84, 13,367.78 and 6,544.28 is: 9,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.84 : 13,367.78 = 6,544.28 : x
  2. Step 2: Convert to fraction form
    9,683.84/13,367.78 = 6,544.28/x
  3. Step 3: Cross multiply
    9,683.84x = 13,367.78 × 6,544.28
  4. Step 4: Simplify right side
    9,683.84x = 87,482,495.30
  5. Step 5: Solve for x
    x = 87,482,495.30/9,683.84
  6. Step 6: Final answer
    x = 9,033.86

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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.