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Finding the Fourth Proportional to 9,466.96, 13,064.43 and 5,433.92

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Solution

The fourth proportional to 9,466.96, 13,064.43 and 5,433.92 is: 7,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.96 : 13,064.43 = 5,433.92 : x
  2. Step 2: Convert to fraction form
    9,466.96/13,064.43 = 5,433.92/x
  3. Step 3: Cross multiply
    9,466.96x = 13,064.43 × 5,433.92
  4. Step 4: Simplify right side
    9,466.96x = 70,991,067.47
  5. Step 5: Solve for x
    x = 70,991,067.47/9,466.96
  6. Step 6: Final answer
    x = 7,498.82

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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.