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Finding the Fourth Proportional to 9,213.62, 12,705.86 and 5,850.50

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Solution

The fourth proportional to 9,213.62, 12,705.86 and 5,850.50 is: 8,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.62 : 12,705.86 = 5,850.50 : x
  2. Step 2: Convert to fraction form
    9,213.62/12,705.86 = 5,850.50/x
  3. Step 3: Cross multiply
    9,213.62x = 12,705.86 × 5,850.50
  4. Step 4: Simplify right side
    9,213.62x = 74,335,541.15
  5. Step 5: Solve for x
    x = 74,335,541.15/9,213.62
  6. Step 6: Final answer
    x = 8,068.01

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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.