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Finding the Fourth Proportional to 9,503.28, 14,253.24 and 2,578.32

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Solution

The fourth proportional to 9,503.28, 14,253.24 and 2,578.32 is: 3,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.28 : 14,253.24 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    9,503.28/14,253.24 = 2,578.32/x
  3. Step 3: Cross multiply
    9,503.28x = 14,253.24 × 2,578.32
  4. Step 4: Simplify right side
    9,503.28x = 36,749,413.76
  5. Step 5: Solve for x
    x = 36,749,413.76/9,503.28
  6. Step 6: Final answer
    x = 3,867.02

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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.