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Finding the Fourth Proportional to 9,534.71, 14,302.07 and 2,960.96

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Solution

The fourth proportional to 9,534.71, 14,302.07 and 2,960.96 is: 4,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.71 : 14,302.07 = 2,960.96 : x
  2. Step 2: Convert to fraction form
    9,534.71/14,302.07 = 2,960.96/x
  3. Step 3: Cross multiply
    9,534.71x = 14,302.07 × 2,960.96
  4. Step 4: Simplify right side
    9,534.71x = 42,347,781.98
  5. Step 5: Solve for x
    x = 42,347,781.98/9,534.71
  6. Step 6: Final answer
    x = 4,441.43

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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.