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Finding the Fourth Proportional to 9,932.16, 14,877.26 and 6,797.44

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Solution

The fourth proportional to 9,932.16, 14,877.26 and 6,797.44 is: 10,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.16 : 14,877.26 = 6,797.44 : x
  2. Step 2: Convert to fraction form
    9,932.16/14,877.26 = 6,797.44/x
  3. Step 3: Cross multiply
    9,932.16x = 14,877.26 × 6,797.44
  4. Step 4: Simplify right side
    9,932.16x = 101,127,282.21
  5. Step 5: Solve for x
    x = 101,127,282.21/9,932.16
  6. Step 6: Final answer
    x = 10,181.80

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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.