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Finding the Fourth Proportional to 9,490.86, 14,239.58 and 4,229.60

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Solution

The fourth proportional to 9,490.86, 14,239.58 and 4,229.60 is: 6,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.86 : 14,239.58 = 4,229.60 : x
  2. Step 2: Convert to fraction form
    9,490.86/14,239.58 = 4,229.60/x
  3. Step 3: Cross multiply
    9,490.86x = 14,239.58 × 4,229.60
  4. Step 4: Simplify right side
    9,490.86x = 60,227,635.22
  5. Step 5: Solve for x
    x = 60,227,635.22/9,490.86
  6. Step 6: Final answer
    x = 6,345.86

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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.