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Finding the Fourth Proportional to 9,548.83, 14,331.44 and 5,392.92

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Solution

The fourth proportional to 9,548.83, 14,331.44 and 5,392.92 is: 8,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.83 : 14,331.44 = 5,392.92 : x
  2. Step 2: Convert to fraction form
    9,548.83/14,331.44 = 5,392.92/x
  3. Step 3: Cross multiply
    9,548.83x = 14,331.44 × 5,392.92
  4. Step 4: Simplify right side
    9,548.83x = 77,288,322.89
  5. Step 5: Solve for x
    x = 77,288,322.89/9,548.83
  6. Step 6: Final answer
    x = 8,094.01

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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.