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Finding the Fourth Proportional to 9,592.46, 14,382.93 and 3,965.80

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Solution

The fourth proportional to 9,592.46, 14,382.93 and 3,965.80 is: 5,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.46 : 14,382.93 = 3,965.80 : x
  2. Step 2: Convert to fraction form
    9,592.46/14,382.93 = 3,965.80/x
  3. Step 3: Cross multiply
    9,592.46x = 14,382.93 × 3,965.80
  4. Step 4: Simplify right side
    9,592.46x = 57,039,823.79
  5. Step 5: Solve for x
    x = 57,039,823.79/9,592.46
  6. Step 6: Final answer
    x = 5,946.32

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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.