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Finding the Fourth Proportional to 9,831.05, 14,736.18 and 7,056.21

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Solution

The fourth proportional to 9,831.05, 14,736.18 and 7,056.21 is: 10,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.05 : 14,736.18 = 7,056.21 : x
  2. Step 2: Convert to fraction form
    9,831.05/14,736.18 = 7,056.21/x
  3. Step 3: Cross multiply
    9,831.05x = 14,736.18 × 7,056.21
  4. Step 4: Simplify right side
    9,831.05x = 103,981,662.40
  5. Step 5: Solve for x
    x = 103,981,662.40/9,831.05
  6. Step 6: Final answer
    x = 10,576.87

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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.