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Finding the Fourth Proportional to 9,956.52, 13,740.46 and 6,180.90

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Solution

The fourth proportional to 9,956.52, 13,740.46 and 6,180.90 is: 8,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.52 : 13,740.46 = 6,180.90 : x
  2. Step 2: Convert to fraction form
    9,956.52/13,740.46 = 6,180.90/x
  3. Step 3: Cross multiply
    9,956.52x = 13,740.46 × 6,180.90
  4. Step 4: Simplify right side
    9,956.52x = 84,928,409.21
  5. Step 5: Solve for x
    x = 84,928,409.21/9,956.52
  6. Step 6: Final answer
    x = 8,529.93

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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.