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Finding the Fourth Proportional to 9,662.54, 13,331.18 and 5,412.98

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Solution

The fourth proportional to 9,662.54, 13,331.18 and 5,412.98 is: 7,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.54 : 13,331.18 = 5,412.98 : x
  2. Step 2: Convert to fraction form
    9,662.54/13,331.18 = 5,412.98/x
  3. Step 3: Cross multiply
    9,662.54x = 13,331.18 × 5,412.98
  4. Step 4: Simplify right side
    9,662.54x = 72,161,410.72
  5. Step 5: Solve for x
    x = 72,161,410.72/9,662.54
  6. Step 6: Final answer
    x = 7,468.16

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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.