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Finding the Fourth Proportional to 9,703.68, 14,549.76 and 3,863.04

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Solution

The fourth proportional to 9,703.68, 14,549.76 and 3,863.04 is: 5,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.68 : 14,549.76 = 3,863.04 : x
  2. Step 2: Convert to fraction form
    9,703.68/14,549.76 = 3,863.04/x
  3. Step 3: Cross multiply
    9,703.68x = 14,549.76 × 3,863.04
  4. Step 4: Simplify right side
    9,703.68x = 56,206,304.87
  5. Step 5: Solve for x
    x = 56,206,304.87/9,703.68
  6. Step 6: Final answer
    x = 5,792.27

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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.