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Finding the Fourth Proportional to 9,865.83, 13,612.40 and 6,333.83

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Solution

The fourth proportional to 9,865.83, 13,612.40 and 6,333.83 is: 8,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.83 : 13,612.40 = 6,333.83 : x
  2. Step 2: Convert to fraction form
    9,865.83/13,612.40 = 6,333.83/x
  3. Step 3: Cross multiply
    9,865.83x = 13,612.40 × 6,333.83
  4. Step 4: Simplify right side
    9,865.83x = 86,218,559.43
  5. Step 5: Solve for x
    x = 86,218,559.43/9,865.83
  6. Step 6: Final answer
    x = 8,739.11

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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.