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Finding the Fourth Proportional to 10,352.92, 15,499.44 and 9,284.60

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Solution

The fourth proportional to 10,352.92, 15,499.44 and 9,284.60 is: 13,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.92 : 15,499.44 = 9,284.60 : x
  2. Step 2: Convert to fraction form
    10,352.92/15,499.44 = 9,284.60/x
  3. Step 3: Cross multiply
    10,352.92x = 15,499.44 × 9,284.60
  4. Step 4: Simplify right side
    10,352.92x = 143,906,100.62
  5. Step 5: Solve for x
    x = 143,906,100.62/10,352.92
  6. Step 6: Final answer
    x = 13,900.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.