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Finding the Fourth Proportional to 9,564.54, 14,344.64 and 3,640.20

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Solution

The fourth proportional to 9,564.54, 14,344.64 and 3,640.20 is: 5,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.54 : 14,344.64 = 3,640.20 : x
  2. Step 2: Convert to fraction form
    9,564.54/14,344.64 = 3,640.20/x
  3. Step 3: Cross multiply
    9,564.54x = 14,344.64 × 3,640.20
  4. Step 4: Simplify right side
    9,564.54x = 52,217,358.53
  5. Step 5: Solve for x
    x = 52,217,358.53/9,564.54
  6. Step 6: Final answer
    x = 5,459.47

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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.