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Finding the Fourth Proportional to 9,813.43, 13,537.77 and 5,831.72

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Solution

The fourth proportional to 9,813.43, 13,537.77 and 5,831.72 is: 8,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.43 : 13,537.77 = 5,831.72 : x
  2. Step 2: Convert to fraction form
    9,813.43/13,537.77 = 5,831.72/x
  3. Step 3: Cross multiply
    9,813.43x = 13,537.77 × 5,831.72
  4. Step 4: Simplify right side
    9,813.43x = 78,948,484.06
  5. Step 5: Solve for x
    x = 78,948,484.06/9,813.43
  6. Step 6: Final answer
    x = 8,044.94

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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.