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Finding the Fourth Proportional to 9,412.64, 14,121.60 and 4,727

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Solution

The fourth proportional to 9,412.64, 14,121.60 and 4,727 is: 7,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.64 : 14,121.60 = 4,727 : x
  2. Step 2: Convert to fraction form
    9,412.64/14,121.60 = 4,727/x
  3. Step 3: Cross multiply
    9,412.64x = 14,121.60 × 4,727
  4. Step 4: Simplify right side
    9,412.64x = 66,752,803.20
  5. Step 5: Solve for x
    x = 66,752,803.20/9,412.64
  6. Step 6: Final answer
    x = 7,091.83

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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.