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Finding the Fourth Proportional to 9,938.70, 14,831.10 and 8,834.22

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Solution

The fourth proportional to 9,938.70, 14,831.10 and 8,834.22 is: 13,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.70 : 14,831.10 = 8,834.22 : x
  2. Step 2: Convert to fraction form
    9,938.70/14,831.10 = 8,834.22/x
  3. Step 3: Cross multiply
    9,938.70x = 14,831.10 × 8,834.22
  4. Step 4: Simplify right side
    9,938.70x = 131,021,200.24
  5. Step 5: Solve for x
    x = 131,021,200.24/9,938.70
  6. Step 6: Final answer
    x = 13,182.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.