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Finding the Fourth Proportional to 9,095.71, 13,664.24 and 7,850.18

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Solution

The fourth proportional to 9,095.71, 13,664.24 and 7,850.18 is: 11,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.71 : 13,664.24 = 7,850.18 : x
  2. Step 2: Convert to fraction form
    9,095.71/13,664.24 = 7,850.18/x
  3. Step 3: Cross multiply
    9,095.71x = 13,664.24 × 7,850.18
  4. Step 4: Simplify right side
    9,095.71x = 107,266,812.07
  5. Step 5: Solve for x
    x = 107,266,812.07/9,095.71
  6. Step 6: Final answer
    x = 11,793.12

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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.