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Finding the Fourth Proportional to 9,816, 13,543.20 and 5,835.12

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Solution

The fourth proportional to 9,816, 13,543.20 and 5,835.12 is: 8,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816 : 13,543.20 = 5,835.12 : x
  2. Step 2: Convert to fraction form
    9,816/13,543.20 = 5,835.12/x
  3. Step 3: Cross multiply
    9,816x = 13,543.20 × 5,835.12
  4. Step 4: Simplify right side
    9,816x = 79,026,197.18
  5. Step 5: Solve for x
    x = 79,026,197.18/9,816
  6. Step 6: Final answer
    x = 8,050.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.