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Finding the Fourth Proportional to 9,290.69, 12,831.80 and 6,118.17

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Solution

The fourth proportional to 9,290.69, 12,831.80 and 6,118.17 is: 8,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.69 : 12,831.80 = 6,118.17 : x
  2. Step 2: Convert to fraction form
    9,290.69/12,831.80 = 6,118.17/x
  3. Step 3: Cross multiply
    9,290.69x = 12,831.80 × 6,118.17
  4. Step 4: Simplify right side
    9,290.69x = 78,507,149.10
  5. Step 5: Solve for x
    x = 78,507,149.10/9,290.69
  6. Step 6: Final answer
    x = 8,450.09

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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.