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Finding the Fourth Proportional to 9,421.15, 12,997.48 and 5,644.47

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Solution

The fourth proportional to 9,421.15, 12,997.48 and 5,644.47 is: 7,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.15 : 12,997.48 = 5,644.47 : x
  2. Step 2: Convert to fraction form
    9,421.15/12,997.48 = 5,644.47/x
  3. Step 3: Cross multiply
    9,421.15x = 12,997.48 × 5,644.47
  4. Step 4: Simplify right side
    9,421.15x = 73,363,892.99
  5. Step 5: Solve for x
    x = 73,363,892.99/9,421.15
  6. Step 6: Final answer
    x = 7,787.15

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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.