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Finding the Fourth Proportional to 9,813.37, 13,537.69 and 5,831.66

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Solution

The fourth proportional to 9,813.37, 13,537.69 and 5,831.66 is: 8,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.37 : 13,537.69 = 5,831.66 : x
  2. Step 2: Convert to fraction form
    9,813.37/13,537.69 = 5,831.66/x
  3. Step 3: Cross multiply
    9,813.37x = 13,537.69 × 5,831.66
  4. Step 4: Simplify right side
    9,813.37x = 78,947,176.11
  5. Step 5: Solve for x
    x = 78,947,176.11/9,813.37
  6. Step 6: Final answer
    x = 8,044.86

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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.