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Finding the Fourth Proportional to 6,887.71, 9,505.34 and 4,236

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Solution

The fourth proportional to 6,887.71, 9,505.34 and 4,236 is: 5,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.71 : 9,505.34 = 4,236 : x
  2. Step 2: Convert to fraction form
    6,887.71/9,505.34 = 4,236/x
  3. Step 3: Cross multiply
    6,887.71x = 9,505.34 × 4,236
  4. Step 4: Simplify right side
    6,887.71x = 40,264,620.24
  5. Step 5: Solve for x
    x = 40,264,620.24/6,887.71
  6. Step 6: Final answer
    x = 5,845.86

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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.