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Finding the Fourth Proportional to 9,466.95, 13,064.32 and 5,218.19

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Solution

The fourth proportional to 9,466.95, 13,064.32 and 5,218.19 is: 7,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.95 : 13,064.32 = 5,218.19 : x
  2. Step 2: Convert to fraction form
    9,466.95/13,064.32 = 5,218.19/x
  3. Step 3: Cross multiply
    9,466.95x = 13,064.32 × 5,218.19
  4. Step 4: Simplify right side
    9,466.95x = 68,172,103.98
  5. Step 5: Solve for x
    x = 68,172,103.98/9,466.95
  6. Step 6: Final answer
    x = 7,201.06

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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.