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Finding the Fourth Proportional to 9,504.71, 14,247.05 and 3,952.47

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Solution

The fourth proportional to 9,504.71, 14,247.05 and 3,952.47 is: 5,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.71 : 14,247.05 = 3,952.47 : x
  2. Step 2: Convert to fraction form
    9,504.71/14,247.05 = 3,952.47/x
  3. Step 3: Cross multiply
    9,504.71x = 14,247.05 × 3,952.47
  4. Step 4: Simplify right side
    9,504.71x = 56,310,964.52
  5. Step 5: Solve for x
    x = 56,310,964.52/9,504.71
  6. Step 6: Final answer
    x = 5,924.53

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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.