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Finding the Fourth Proportional to 9,686.46, 13,325.36 and 8,486.04

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Solution

The fourth proportional to 9,686.46, 13,325.36 and 8,486.04 is: 11,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.46 : 13,325.36 = 8,486.04 : x
  2. Step 2: Convert to fraction form
    9,686.46/13,325.36 = 8,486.04/x
  3. Step 3: Cross multiply
    9,686.46x = 13,325.36 × 8,486.04
  4. Step 4: Simplify right side
    9,686.46x = 113,079,471.35
  5. Step 5: Solve for x
    x = 113,079,471.35/9,686.46
  6. Step 6: Final answer
    x = 11,673.98

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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.