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Finding the Fourth Proportional to 9,634.68, 13,279.95 and 6,446.84

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Solution

The fourth proportional to 9,634.68, 13,279.95 and 6,446.84 is: 8,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.68 : 13,279.95 = 6,446.84 : x
  2. Step 2: Convert to fraction form
    9,634.68/13,279.95 = 6,446.84/x
  3. Step 3: Cross multiply
    9,634.68x = 13,279.95 × 6,446.84
  4. Step 4: Simplify right side
    9,634.68x = 85,613,646.46
  5. Step 5: Solve for x
    x = 85,613,646.46/9,634.68
  6. Step 6: Final answer
    x = 8,885.99

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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.