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Finding the Fourth Proportional to 6,329.90, 9,496.50 and 1,947.26

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Solution

The fourth proportional to 6,329.90, 9,496.50 and 1,947.26 is: 2,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.90 : 9,496.50 = 1,947.26 : x
  2. Step 2: Convert to fraction form
    6,329.90/9,496.50 = 1,947.26/x
  3. Step 3: Cross multiply
    6,329.90x = 9,496.50 × 1,947.26
  4. Step 4: Simplify right side
    6,329.90x = 18,492,154.59
  5. Step 5: Solve for x
    x = 18,492,154.59/6,329.90
  6. Step 6: Final answer
    x = 2,921.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.