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Finding the Fourth Proportional to 7,018.47, 9,685.33 and 3,831.64

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Solution

The fourth proportional to 7,018.47, 9,685.33 and 3,831.64 is: 5,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.47 : 9,685.33 = 3,831.64 : x
  2. Step 2: Convert to fraction form
    7,018.47/9,685.33 = 3,831.64/x
  3. Step 3: Cross multiply
    7,018.47x = 9,685.33 × 3,831.64
  4. Step 4: Simplify right side
    7,018.47x = 37,110,719.73
  5. Step 5: Solve for x
    x = 37,110,719.73/7,018.47
  6. Step 6: Final answer
    x = 5,287.58

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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.