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Finding the Fourth Proportional to 9,659.40, 13,330.14 and 5,410.42

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Solution

The fourth proportional to 9,659.40, 13,330.14 and 5,410.42 is: 7,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.40 : 13,330.14 = 5,410.42 : x
  2. Step 2: Convert to fraction form
    9,659.40/13,330.14 = 5,410.42/x
  3. Step 3: Cross multiply
    9,659.40x = 13,330.14 × 5,410.42
  4. Step 4: Simplify right side
    9,659.40x = 72,121,679.85
  5. Step 5: Solve for x
    x = 72,121,679.85/9,659.40
  6. Step 6: Final answer
    x = 7,466.48

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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.