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Finding the Fourth Proportional to 9,496.64, 14,250 and 3,656.96

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Solution

The fourth proportional to 9,496.64, 14,250 and 3,656.96 is: 5,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.64 : 14,250 = 3,656.96 : x
  2. Step 2: Convert to fraction form
    9,496.64/14,250 = 3,656.96/x
  3. Step 3: Cross multiply
    9,496.64x = 14,250 × 3,656.96
  4. Step 4: Simplify right side
    9,496.64x = 52,111,680
  5. Step 5: Solve for x
    x = 52,111,680/9,496.64
  6. Step 6: Final answer
    x = 5,487.38

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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.