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Finding the Fourth Proportional to 9,297.86, 12,831.27 and 5,106.20

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Solution

The fourth proportional to 9,297.86, 12,831.27 and 5,106.20 is: 7,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.86 : 12,831.27 = 5,106.20 : x
  2. Step 2: Convert to fraction form
    9,297.86/12,831.27 = 5,106.20/x
  3. Step 3: Cross multiply
    9,297.86x = 12,831.27 × 5,106.20
  4. Step 4: Simplify right side
    9,297.86x = 65,519,030.87
  5. Step 5: Solve for x
    x = 65,519,030.87/9,297.86
  6. Step 6: Final answer
    x = 7,046.68

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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.