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Finding the Fourth Proportional to 9,473.40, 14,194.38 and 5,764.41

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Solution

The fourth proportional to 9,473.40, 14,194.38 and 5,764.41 is: 8,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.40 : 14,194.38 = 5,764.41 : x
  2. Step 2: Convert to fraction form
    9,473.40/14,194.38 = 5,764.41/x
  3. Step 3: Cross multiply
    9,473.40x = 14,194.38 × 5,764.41
  4. Step 4: Simplify right side
    9,473.40x = 81,822,226.02
  5. Step 5: Solve for x
    x = 81,822,226.02/9,473.40
  6. Step 6: Final answer
    x = 8,637.05

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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.