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Finding the Fourth Proportional to 9,854.31, 13,611.51 and 7,571.80

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Solution

The fourth proportional to 9,854.31, 13,611.51 and 7,571.80 is: 10,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.31 : 13,611.51 = 7,571.80 : x
  2. Step 2: Convert to fraction form
    9,854.31/13,611.51 = 7,571.80/x
  3. Step 3: Cross multiply
    9,854.31x = 13,611.51 × 7,571.80
  4. Step 4: Simplify right side
    9,854.31x = 103,063,702.69
  5. Step 5: Solve for x
    x = 103,063,702.69/9,854.31
  6. Step 6: Final answer
    x = 10,458.74

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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.