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Finding the Fourth Proportional to 9,260.83, 13,896.24 and 6,728.14

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Solution

The fourth proportional to 9,260.83, 13,896.24 and 6,728.14 is: 10,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.83 : 13,896.24 = 6,728.14 : x
  2. Step 2: Convert to fraction form
    9,260.83/13,896.24 = 6,728.14/x
  3. Step 3: Cross multiply
    9,260.83x = 13,896.24 × 6,728.14
  4. Step 4: Simplify right side
    9,260.83x = 93,495,848.19
  5. Step 5: Solve for x
    x = 93,495,848.19/9,260.83
  6. Step 6: Final answer
    x = 10,095.84

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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.