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Finding the Fourth Proportional to 9,130.63, 13,687.72 and 3,283.13

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Solution

The fourth proportional to 9,130.63, 13,687.72 and 3,283.13 is: 4,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.63 : 13,687.72 = 3,283.13 : x
  2. Step 2: Convert to fraction form
    9,130.63/13,687.72 = 3,283.13/x
  3. Step 3: Cross multiply
    9,130.63x = 13,687.72 × 3,283.13
  4. Step 4: Simplify right side
    9,130.63x = 44,938,487.52
  5. Step 5: Solve for x
    x = 44,938,487.52/9,130.63
  6. Step 6: Final answer
    x = 4,921.73

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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.