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Finding the Fourth Proportional to 9,665.64, 14,467.08 and 5,217.12

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Solution

The fourth proportional to 9,665.64, 14,467.08 and 5,217.12 is: 7,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.64 : 14,467.08 = 5,217.12 : x
  2. Step 2: Convert to fraction form
    9,665.64/14,467.08 = 5,217.12/x
  3. Step 3: Cross multiply
    9,665.64x = 14,467.08 × 5,217.12
  4. Step 4: Simplify right side
    9,665.64x = 75,476,492.41
  5. Step 5: Solve for x
    x = 75,476,492.41/9,665.64
  6. Step 6: Final answer
    x = 7,808.74

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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.