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Finding the Fourth Proportional to 9,683.04, 14,525.42 and 3,759.78

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Solution

The fourth proportional to 9,683.04, 14,525.42 and 3,759.78 is: 5,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.04 : 14,525.42 = 3,759.78 : x
  2. Step 2: Convert to fraction form
    9,683.04/14,525.42 = 3,759.78/x
  3. Step 3: Cross multiply
    9,683.04x = 14,525.42 × 3,759.78
  4. Step 4: Simplify right side
    9,683.04x = 54,612,364.81
  5. Step 5: Solve for x
    x = 54,612,364.81/9,683.04
  6. Step 6: Final answer
    x = 5,640.00

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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.