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Finding the Fourth Proportional to 9,531.93, 13,142.63 and 8,203.35

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Solution

The fourth proportional to 9,531.93, 13,142.63 and 8,203.35 is: 11,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.93 : 13,142.63 = 8,203.35 : x
  2. Step 2: Convert to fraction form
    9,531.93/13,142.63 = 8,203.35/x
  3. Step 3: Cross multiply
    9,531.93x = 13,142.63 × 8,203.35
  4. Step 4: Simplify right side
    9,531.93x = 107,813,552.79
  5. Step 5: Solve for x
    x = 107,813,552.79/9,531.93
  6. Step 6: Final answer
    x = 11,310.78

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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.