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Finding the Fourth Proportional to 9,122.88, 13,685.10 and 2,549.07

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Solution

The fourth proportional to 9,122.88, 13,685.10 and 2,549.07 is: 3,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.88 : 13,685.10 = 2,549.07 : x
  2. Step 2: Convert to fraction form
    9,122.88/13,685.10 = 2,549.07/x
  3. Step 3: Cross multiply
    9,122.88x = 13,685.10 × 2,549.07
  4. Step 4: Simplify right side
    9,122.88x = 34,884,216.98
  5. Step 5: Solve for x
    x = 34,884,216.98/9,122.88
  6. Step 6: Final answer
    x = 3,823.82

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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.