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Finding the Fourth Proportional to 9,811.86, 13,542.17 and 5,835.17

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Solution

The fourth proportional to 9,811.86, 13,542.17 and 5,835.17 is: 8,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.86 : 13,542.17 = 5,835.17 : x
  2. Step 2: Convert to fraction form
    9,811.86/13,542.17 = 5,835.17/x
  3. Step 3: Cross multiply
    9,811.86x = 13,542.17 × 5,835.17
  4. Step 4: Simplify right side
    9,811.86x = 79,020,767.23
  5. Step 5: Solve for x
    x = 79,020,767.23/9,811.86
  6. Step 6: Final answer
    x = 8,053.60

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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.