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Finding the Fourth Proportional to 9,649, 13,306.50 and 6,294.40

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Solution

The fourth proportional to 9,649, 13,306.50 and 6,294.40 is: 8,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649 : 13,306.50 = 6,294.40 : x
  2. Step 2: Convert to fraction form
    9,649/13,306.50 = 6,294.40/x
  3. Step 3: Cross multiply
    9,649x = 13,306.50 × 6,294.40
  4. Step 4: Simplify right side
    9,649x = 83,756,433.60
  5. Step 5: Solve for x
    x = 83,756,433.60/9,649
  6. Step 6: Final answer
    x = 8,680.32

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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.