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Finding the Fourth Proportional to 9,688.37, 13,367.87 and 6,336.11

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Solution

The fourth proportional to 9,688.37, 13,367.87 and 6,336.11 is: 8,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.37 : 13,367.87 = 6,336.11 : x
  2. Step 2: Convert to fraction form
    9,688.37/13,367.87 = 6,336.11/x
  3. Step 3: Cross multiply
    9,688.37x = 13,367.87 × 6,336.11
  4. Step 4: Simplify right side
    9,688.37x = 84,700,294.79
  5. Step 5: Solve for x
    x = 84,700,294.79/9,688.37
  6. Step 6: Final answer
    x = 8,742.47

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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.