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Finding the Fourth Proportional to 9,128.53, 13,684.47 and 3,283.80

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Solution

The fourth proportional to 9,128.53, 13,684.47 and 3,283.80 is: 4,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.53 : 13,684.47 = 3,283.80 : x
  2. Step 2: Convert to fraction form
    9,128.53/13,684.47 = 3,283.80/x
  3. Step 3: Cross multiply
    9,128.53x = 13,684.47 × 3,283.80
  4. Step 4: Simplify right side
    9,128.53x = 44,937,062.59
  5. Step 5: Solve for x
    x = 44,937,062.59/9,128.53
  6. Step 6: Final answer
    x = 4,922.71

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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.