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Finding the Fourth Proportional to 9,831.94, 13,567.98 and 6,849.43

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Solution

The fourth proportional to 9,831.94, 13,567.98 and 6,849.43 is: 9,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.94 : 13,567.98 = 6,849.43 : x
  2. Step 2: Convert to fraction form
    9,831.94/13,567.98 = 6,849.43/x
  3. Step 3: Cross multiply
    9,831.94x = 13,567.98 × 6,849.43
  4. Step 4: Simplify right side
    9,831.94x = 92,932,929.25
  5. Step 5: Solve for x
    x = 92,932,929.25/9,831.94
  6. Step 6: Final answer
    x = 9,452.15

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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.