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Finding the Fourth Proportional to 12,912.20, 17,797.54 and 9,130.48

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Solution

The fourth proportional to 12,912.20, 17,797.54 and 9,130.48 is: 12,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.20 : 17,797.54 = 9,130.48 : x
  2. Step 2: Convert to fraction form
    12,912.20/17,797.54 = 9,130.48/x
  3. Step 3: Cross multiply
    12,912.20x = 17,797.54 × 9,130.48
  4. Step 4: Simplify right side
    12,912.20x = 162,500,083.02
  5. Step 5: Solve for x
    x = 162,500,083.02/12,912.20
  6. Step 6: Final answer
    x = 12,585.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.