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Finding the Fourth Proportional to 9,827.80, 13,576.15 and 8,765.23

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Solution

The fourth proportional to 9,827.80, 13,576.15 and 8,765.23 is: 12,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.80 : 13,576.15 = 8,765.23 : x
  2. Step 2: Convert to fraction form
    9,827.80/13,576.15 = 8,765.23/x
  3. Step 3: Cross multiply
    9,827.80x = 13,576.15 × 8,765.23
  4. Step 4: Simplify right side
    9,827.80x = 118,998,054.28
  5. Step 5: Solve for x
    x = 118,998,054.28/9,827.80
  6. Step 6: Final answer
    x = 12,108.31

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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.