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Finding the Fourth Proportional to 9,831.81, 13,567.81 and 6,849.30

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Solution

The fourth proportional to 9,831.81, 13,567.81 and 6,849.30 is: 9,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.81 : 13,567.81 = 6,849.30 : x
  2. Step 2: Convert to fraction form
    9,831.81/13,567.81 = 6,849.30/x
  3. Step 3: Cross multiply
    9,831.81x = 13,567.81 × 6,849.30
  4. Step 4: Simplify right side
    9,831.81x = 92,930,001.03
  5. Step 5: Solve for x
    x = 92,930,001.03/9,831.81
  6. Step 6: Final answer
    x = 9,451.97

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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.