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Finding the Fourth Proportional to 9,490.17, 14,229.75 and 4,553.07

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Solution

The fourth proportional to 9,490.17, 14,229.75 and 4,553.07 is: 6,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.17 : 14,229.75 = 4,553.07 : x
  2. Step 2: Convert to fraction form
    9,490.17/14,229.75 = 4,553.07/x
  3. Step 3: Cross multiply
    9,490.17x = 14,229.75 × 4,553.07
  4. Step 4: Simplify right side
    9,490.17x = 64,789,047.83
  5. Step 5: Solve for x
    x = 64,789,047.83/9,490.17
  6. Step 6: Final answer
    x = 6,826.96

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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.