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Finding the Fourth Proportional to 9,733.46, 14,609.28 and 4,471.31

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Solution

The fourth proportional to 9,733.46, 14,609.28 and 4,471.31 is: 6,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.46 : 14,609.28 = 4,471.31 : x
  2. Step 2: Convert to fraction form
    9,733.46/14,609.28 = 4,471.31/x
  3. Step 3: Cross multiply
    9,733.46x = 14,609.28 × 4,471.31
  4. Step 4: Simplify right side
    9,733.46x = 65,322,619.76
  5. Step 5: Solve for x
    x = 65,322,619.76/9,733.46
  6. Step 6: Final answer
    x = 6,711.14

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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.