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Finding the Fourth Proportional to 9,468.77, 13,066.31 and 5,219.61

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Solution

The fourth proportional to 9,468.77, 13,066.31 and 5,219.61 is: 7,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.77 : 13,066.31 = 5,219.61 : x
  2. Step 2: Convert to fraction form
    9,468.77/13,066.31 = 5,219.61/x
  3. Step 3: Cross multiply
    9,468.77x = 13,066.31 × 5,219.61
  4. Step 4: Simplify right side
    9,468.77x = 68,201,042.34
  5. Step 5: Solve for x
    x = 68,201,042.34/9,468.77
  6. Step 6: Final answer
    x = 7,202.74

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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.