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Finding the Fourth Proportional to 9,686.52, 14,529.84 and 3,446.77

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Solution

The fourth proportional to 9,686.52, 14,529.84 and 3,446.77 is: 5,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.52 : 14,529.84 = 3,446.77 : x
  2. Step 2: Convert to fraction form
    9,686.52/14,529.84 = 3,446.77/x
  3. Step 3: Cross multiply
    9,686.52x = 14,529.84 × 3,446.77
  4. Step 4: Simplify right side
    9,686.52x = 50,080,999.38
  5. Step 5: Solve for x
    x = 50,080,999.38/9,686.52
  6. Step 6: Final answer
    x = 5,170.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.