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Finding the Fourth Proportional to 9,201.25, 12,706.15 and 5,845.14

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Solution

The fourth proportional to 9,201.25, 12,706.15 and 5,845.14 is: 8,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.25 : 12,706.15 = 5,845.14 : x
  2. Step 2: Convert to fraction form
    9,201.25/12,706.15 = 5,845.14/x
  3. Step 3: Cross multiply
    9,201.25x = 12,706.15 × 5,845.14
  4. Step 4: Simplify right side
    9,201.25x = 74,269,225.61
  5. Step 5: Solve for x
    x = 74,269,225.61/9,201.25
  6. Step 6: Final answer
    x = 8,071.65

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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.