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Finding the Fourth Proportional to 9,831.90, 14,745.27 and 6,711.33

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Solution

The fourth proportional to 9,831.90, 14,745.27 and 6,711.33 is: 10,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.90 : 14,745.27 = 6,711.33 : x
  2. Step 2: Convert to fraction form
    9,831.90/14,745.27 = 6,711.33/x
  3. Step 3: Cross multiply
    9,831.90x = 14,745.27 × 6,711.33
  4. Step 4: Simplify right side
    9,831.90x = 98,960,372.91
  5. Step 5: Solve for x
    x = 98,960,372.91/9,831.90
  6. Step 6: Final answer
    x = 10,065.23

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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.