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Finding the Fourth Proportional to 10,442.64, 14,402.43 and 9,181.02

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Solution

The fourth proportional to 10,442.64, 14,402.43 and 9,181.02 is: 12,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.64 : 14,402.43 = 9,181.02 : x
  2. Step 2: Convert to fraction form
    10,442.64/14,402.43 = 9,181.02/x
  3. Step 3: Cross multiply
    10,442.64x = 14,402.43 × 9,181.02
  4. Step 4: Simplify right side
    10,442.64x = 132,228,997.88
  5. Step 5: Solve for x
    x = 132,228,997.88/10,442.64
  6. Step 6: Final answer
    x = 12,662.41

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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.