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Finding the Fourth Proportional to 9,660.44, 13,330.30 and 5,410.91

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Solution

The fourth proportional to 9,660.44, 13,330.30 and 5,410.91 is: 7,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.44 : 13,330.30 = 5,410.91 : x
  2. Step 2: Convert to fraction form
    9,660.44/13,330.30 = 5,410.91/x
  3. Step 3: Cross multiply
    9,660.44x = 13,330.30 × 5,410.91
  4. Step 4: Simplify right side
    9,660.44x = 72,129,026.52
  5. Step 5: Solve for x
    x = 72,129,026.52/9,660.44
  6. Step 6: Final answer
    x = 7,466.43

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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.