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Finding the Fourth Proportional to 9,618.86, 14,429.81 and 4,072.24

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Solution

The fourth proportional to 9,618.86, 14,429.81 and 4,072.24 is: 6,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.86 : 14,429.81 = 4,072.24 : x
  2. Step 2: Convert to fraction form
    9,618.86/14,429.81 = 4,072.24/x
  3. Step 3: Cross multiply
    9,618.86x = 14,429.81 × 4,072.24
  4. Step 4: Simplify right side
    9,618.86x = 58,761,677.69
  5. Step 5: Solve for x
    x = 58,761,677.69/9,618.86
  6. Step 6: Final answer
    x = 6,109.00

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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.