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Finding the Fourth Proportional to 9,477.60, 14,214.80 and 2,550.48

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Solution

The fourth proportional to 9,477.60, 14,214.80 and 2,550.48 is: 3,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.60 : 14,214.80 = 2,550.48 : x
  2. Step 2: Convert to fraction form
    9,477.60/14,214.80 = 2,550.48/x
  3. Step 3: Cross multiply
    9,477.60x = 14,214.80 × 2,550.48
  4. Step 4: Simplify right side
    9,477.60x = 36,254,563.10
  5. Step 5: Solve for x
    x = 36,254,563.10/9,477.60
  6. Step 6: Final answer
    x = 3,825.29

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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.