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Finding the Fourth Proportional to 9,490.48, 14,239.01 and 4,229.22

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Solution

The fourth proportional to 9,490.48, 14,239.01 and 4,229.22 is: 6,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.48 : 14,239.01 = 4,229.22 : x
  2. Step 2: Convert to fraction form
    9,490.48/14,239.01 = 4,229.22/x
  3. Step 3: Cross multiply
    9,490.48x = 14,239.01 × 4,229.22
  4. Step 4: Simplify right side
    9,490.48x = 60,219,969.84
  5. Step 5: Solve for x
    x = 60,219,969.84/9,490.48
  6. Step 6: Final answer
    x = 6,345.30

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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.