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Finding the Fourth Proportional to 9,605.25, 14,398.44 and 4,601.86

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Solution

The fourth proportional to 9,605.25, 14,398.44 and 4,601.86 is: 6,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.25 : 14,398.44 = 4,601.86 : x
  2. Step 2: Convert to fraction form
    9,605.25/14,398.44 = 4,601.86/x
  3. Step 3: Cross multiply
    9,605.25x = 14,398.44 × 4,601.86
  4. Step 4: Simplify right side
    9,605.25x = 66,259,605.10
  5. Step 5: Solve for x
    x = 66,259,605.10/9,605.25
  6. Step 6: Final answer
    x = 6,898.27

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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.