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Finding the Fourth Proportional to 9,688.89, 13,367.22 and 6,333.63

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Solution

The fourth proportional to 9,688.89, 13,367.22 and 6,333.63 is: 8,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.89 : 13,367.22 = 6,333.63 : x
  2. Step 2: Convert to fraction form
    9,688.89/13,367.22 = 6,333.63/x
  3. Step 3: Cross multiply
    9,688.89x = 13,367.22 × 6,333.63
  4. Step 4: Simplify right side
    9,688.89x = 84,663,025.61
  5. Step 5: Solve for x
    x = 84,663,025.61/9,688.89
  6. Step 6: Final answer
    x = 8,738.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.