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Finding the Fourth Proportional to 7,124, 9,831.12 and 3,980.93

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Solution

The fourth proportional to 7,124, 9,831.12 and 3,980.93 is: 5,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124 : 9,831.12 = 3,980.93 : x
  2. Step 2: Convert to fraction form
    7,124/9,831.12 = 3,980.93/x
  3. Step 3: Cross multiply
    7,124x = 9,831.12 × 3,980.93
  4. Step 4: Simplify right side
    7,124x = 39,137,000.54
  5. Step 5: Solve for x
    x = 39,137,000.54/7,124
  6. Step 6: Final answer
    x = 5,493.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.