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Finding the Fourth Proportional to 9,964.16, 13,748.52 and 6,236

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Solution

The fourth proportional to 9,964.16, 13,748.52 and 6,236 is: 8,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.16 : 13,748.52 = 6,236 : x
  2. Step 2: Convert to fraction form
    9,964.16/13,748.52 = 6,236/x
  3. Step 3: Cross multiply
    9,964.16x = 13,748.52 × 6,236
  4. Step 4: Simplify right side
    9,964.16x = 85,735,770.72
  5. Step 5: Solve for x
    x = 85,735,770.72/9,964.16
  6. Step 6: Final answer
    x = 8,604.42

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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.