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Finding the Fourth Proportional to 9,648.56, 14,459.69 and 5,433.83

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Solution

The fourth proportional to 9,648.56, 14,459.69 and 5,433.83 is: 8,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.56 : 14,459.69 = 5,433.83 : x
  2. Step 2: Convert to fraction form
    9,648.56/14,459.69 = 5,433.83/x
  3. Step 3: Cross multiply
    9,648.56x = 14,459.69 × 5,433.83
  4. Step 4: Simplify right side
    9,648.56x = 78,571,397.85
  5. Step 5: Solve for x
    x = 78,571,397.85/9,648.56
  6. Step 6: Final answer
    x = 8,143.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.