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Finding the Fourth Proportional to 9,440.46, 14,150.97 and 5,056.74

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Solution

The fourth proportional to 9,440.46, 14,150.97 and 5,056.74 is: 7,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.46 : 14,150.97 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    9,440.46/14,150.97 = 5,056.74/x
  3. Step 3: Cross multiply
    9,440.46x = 14,150.97 × 5,056.74
  4. Step 4: Simplify right side
    9,440.46x = 71,557,776.04
  5. Step 5: Solve for x
    x = 71,557,776.04/9,440.46
  6. Step 6: Final answer
    x = 7,579.90

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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.