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Finding the Fourth Proportional to 9,683.40, 13,347.12 and 6,847.11

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Solution

The fourth proportional to 9,683.40, 13,347.12 and 6,847.11 is: 9,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.40 : 13,347.12 = 6,847.11 : x
  2. Step 2: Convert to fraction form
    9,683.40/13,347.12 = 6,847.11/x
  3. Step 3: Cross multiply
    9,683.40x = 13,347.12 × 6,847.11
  4. Step 4: Simplify right side
    9,683.40x = 91,389,198.82
  5. Step 5: Solve for x
    x = 91,389,198.82/9,683.40
  6. Step 6: Final answer
    x = 9,437.72

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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.