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Finding the Fourth Proportional to 9,151.62, 12,630.59 and 5,794.74

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Solution

The fourth proportional to 9,151.62, 12,630.59 and 5,794.74 is: 7,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.62 : 12,630.59 = 5,794.74 : x
  2. Step 2: Convert to fraction form
    9,151.62/12,630.59 = 5,794.74/x
  3. Step 3: Cross multiply
    9,151.62x = 12,630.59 × 5,794.74
  4. Step 4: Simplify right side
    9,151.62x = 73,190,956.12
  5. Step 5: Solve for x
    x = 73,190,956.12/9,151.62
  6. Step 6: Final answer
    x = 7,997.60

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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.