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Finding the Fourth Proportional to 9,867.69, 13,622.13 and 5,835.20

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Solution

The fourth proportional to 9,867.69, 13,622.13 and 5,835.20 is: 8,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.69 : 13,622.13 = 5,835.20 : x
  2. Step 2: Convert to fraction form
    9,867.69/13,622.13 = 5,835.20/x
  3. Step 3: Cross multiply
    9,867.69x = 13,622.13 × 5,835.20
  4. Step 4: Simplify right side
    9,867.69x = 79,487,784.87
  5. Step 5: Solve for x
    x = 79,487,784.87/9,867.69
  6. Step 6: Final answer
    x = 8,055.36

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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.