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Finding the Fourth Proportional to 9,531.18, 13,141.59 and 8,202.60

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Solution

The fourth proportional to 9,531.18, 13,141.59 and 8,202.60 is: 11,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.18 : 13,141.59 = 8,202.60 : x
  2. Step 2: Convert to fraction form
    9,531.18/13,141.59 = 8,202.60/x
  3. Step 3: Cross multiply
    9,531.18x = 13,141.59 × 8,202.60
  4. Step 4: Simplify right side
    9,531.18x = 107,795,206.13
  5. Step 5: Solve for x
    x = 107,795,206.13/9,531.18
  6. Step 6: Final answer
    x = 11,309.74

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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.