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Finding the Fourth Proportional to 9,664.38, 14,497.28 and 3,000.00

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Solution

The fourth proportional to 9,664.38, 14,497.28 and 3,000.00 is: 4,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.38 : 14,497.28 = 3,000.00 : x
  2. Step 2: Convert to fraction form
    9,664.38/14,497.28 = 3,000.00/x
  3. Step 3: Cross multiply
    9,664.38x = 14,497.28 × 3,000.00
  4. Step 4: Simplify right side
    9,664.38x = 43,491,890.61
  5. Step 5: Solve for x
    x = 43,491,890.61/9,664.38
  6. Step 6: Final answer
    x = 4,500.23

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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.