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Finding the Fourth Proportional to 9,686.56, 14,529.84 and 3,112.72

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Solution

The fourth proportional to 9,686.56, 14,529.84 and 3,112.72 is: 4,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.56 : 14,529.84 = 3,112.72 : x
  2. Step 2: Convert to fraction form
    9,686.56/14,529.84 = 3,112.72/x
  3. Step 3: Cross multiply
    9,686.56x = 14,529.84 × 3,112.72
  4. Step 4: Simplify right side
    9,686.56x = 45,227,323.56
  5. Step 5: Solve for x
    x = 45,227,323.56/9,686.56
  6. Step 6: Final answer
    x = 4,669.08

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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.