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Finding the Fourth Proportional to 9,683.43, 13,353.98 and 6,503.91

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Solution

The fourth proportional to 9,683.43, 13,353.98 and 6,503.91 is: 8,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.43 : 13,353.98 = 6,503.91 : x
  2. Step 2: Convert to fraction form
    9,683.43/13,353.98 = 6,503.91/x
  3. Step 3: Cross multiply
    9,683.43x = 13,353.98 × 6,503.91
  4. Step 4: Simplify right side
    9,683.43x = 86,853,051.54
  5. Step 5: Solve for x
    x = 86,853,051.54/9,683.43
  6. Step 6: Final answer
    x = 8,969.24

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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.