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Finding the Fourth Proportional to 7,018.35, 9,685.38 and 3,831.67

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Solution

The fourth proportional to 7,018.35, 9,685.38 and 3,831.67 is: 5,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.35 : 9,685.38 = 3,831.67 : x
  2. Step 2: Convert to fraction form
    7,018.35/9,685.38 = 3,831.67/x
  3. Step 3: Cross multiply
    7,018.35x = 9,685.38 × 3,831.67
  4. Step 4: Simplify right side
    7,018.35x = 37,111,179.98
  5. Step 5: Solve for x
    x = 37,111,179.98/7,018.35
  6. Step 6: Final answer
    x = 5,287.74

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Why These Related Problems?

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