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Finding the Fourth Proportional to 9,066.83, 12,503.04 and 8,537.70

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Solution

The fourth proportional to 9,066.83, 12,503.04 and 8,537.70 is: 11,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066.83 : 12,503.04 = 8,537.70 : x
  2. Step 2: Convert to fraction form
    9,066.83/12,503.04 = 8,537.70/x
  3. Step 3: Cross multiply
    9,066.83x = 12,503.04 × 8,537.70
  4. Step 4: Simplify right side
    9,066.83x = 106,747,204.61
  5. Step 5: Solve for x
    x = 106,747,204.61/9,066.83
  6. Step 6: Final answer
    x = 11,773.38

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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.