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Finding the Fourth Proportional to 9,464.01, 13,061.15 and 5,215.76

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Solution

The fourth proportional to 9,464.01, 13,061.15 and 5,215.76 is: 7,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.01 : 13,061.15 = 5,215.76 : x
  2. Step 2: Convert to fraction form
    9,464.01/13,061.15 = 5,215.76/x
  3. Step 3: Cross multiply
    9,464.01x = 13,061.15 × 5,215.76
  4. Step 4: Simplify right side
    9,464.01x = 68,123,732.34
  5. Step 5: Solve for x
    x = 68,123,732.34/9,464.01
  6. Step 6: Final answer
    x = 7,198.19

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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.