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Finding the Fourth Proportional to 9,683.86, 13,364.02 and 6,856.28

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Solution

The fourth proportional to 9,683.86, 13,364.02 and 6,856.28 is: 9,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.86 : 13,364.02 = 6,856.28 : x
  2. Step 2: Convert to fraction form
    9,683.86/13,364.02 = 6,856.28/x
  3. Step 3: Cross multiply
    9,683.86x = 13,364.02 × 6,856.28
  4. Step 4: Simplify right side
    9,683.86x = 91,627,463.05
  5. Step 5: Solve for x
    x = 91,627,463.05/9,683.86
  6. Step 6: Final answer
    x = 9,461.87

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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.