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Finding the Fourth Proportional to 9,906.15, 13,670.84 and 5,429.90

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Solution

The fourth proportional to 9,906.15, 13,670.84 and 5,429.90 is: 7,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.15 : 13,670.84 = 5,429.90 : x
  2. Step 2: Convert to fraction form
    9,906.15/13,670.84 = 5,429.90/x
  3. Step 3: Cross multiply
    9,906.15x = 13,670.84 × 5,429.90
  4. Step 4: Simplify right side
    9,906.15x = 74,231,341.87
  5. Step 5: Solve for x
    x = 74,231,341.87/9,906.15
  6. Step 6: Final answer
    x = 7,493.46

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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.