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Finding the Fourth Proportional to 9,619.25, 14,426.64 and 3,044.21

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Solution

The fourth proportional to 9,619.25, 14,426.64 and 3,044.21 is: 4,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.25 : 14,426.64 = 3,044.21 : x
  2. Step 2: Convert to fraction form
    9,619.25/14,426.64 = 3,044.21/x
  3. Step 3: Cross multiply
    9,619.25x = 14,426.64 × 3,044.21
  4. Step 4: Simplify right side
    9,619.25x = 43,917,649.62
  5. Step 5: Solve for x
    x = 43,917,649.62/9,619.25
  6. Step 6: Final answer
    x = 4,565.60

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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.