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Finding the Fourth Proportional to 9,480.87, 14,216.63 and 2,905.47

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Solution

The fourth proportional to 9,480.87, 14,216.63 and 2,905.47 is: 4,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.87 : 14,216.63 = 2,905.47 : x
  2. Step 2: Convert to fraction form
    9,480.87/14,216.63 = 2,905.47/x
  3. Step 3: Cross multiply
    9,480.87x = 14,216.63 × 2,905.47
  4. Step 4: Simplify right side
    9,480.87x = 41,305,977.44
  5. Step 5: Solve for x
    x = 41,305,977.44/9,480.87
  6. Step 6: Final answer
    x = 4,356.77

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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.