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Finding the Fourth Proportional to 9,596.28, 14,396.10 and 4,402.68

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Solution

The fourth proportional to 9,596.28, 14,396.10 and 4,402.68 is: 6,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.28 : 14,396.10 = 4,402.68 : x
  2. Step 2: Convert to fraction form
    9,596.28/14,396.10 = 4,402.68/x
  3. Step 3: Cross multiply
    9,596.28x = 14,396.10 × 4,402.68
  4. Step 4: Simplify right side
    9,596.28x = 63,381,421.55
  5. Step 5: Solve for x
    x = 63,381,421.55/9,596.28
  6. Step 6: Final answer
    x = 6,604.79

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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.