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Finding the Fourth Proportional to 9,690.32, 14,536.44 and 3,532.88

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Solution

The fourth proportional to 9,690.32, 14,536.44 and 3,532.88 is: 5,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.32 : 14,536.44 = 3,532.88 : x
  2. Step 2: Convert to fraction form
    9,690.32/14,536.44 = 3,532.88/x
  3. Step 3: Cross multiply
    9,690.32x = 14,536.44 × 3,532.88
  4. Step 4: Simplify right side
    9,690.32x = 51,355,498.15
  5. Step 5: Solve for x
    x = 51,355,498.15/9,690.32
  6. Step 6: Final answer
    x = 5,299.67

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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.