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Finding the Fourth Proportional to 9,813.18, 13,537.43 and 5,831.47

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Solution

The fourth proportional to 9,813.18, 13,537.43 and 5,831.47 is: 8,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.18 : 13,537.43 = 5,831.47 : x
  2. Step 2: Convert to fraction form
    9,813.18/13,537.43 = 5,831.47/x
  3. Step 3: Cross multiply
    9,813.18x = 13,537.43 × 5,831.47
  4. Step 4: Simplify right side
    9,813.18x = 78,943,053.92
  5. Step 5: Solve for x
    x = 78,943,053.92/9,813.18
  6. Step 6: Final answer
    x = 8,044.59

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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.