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Finding the Fourth Proportional to 9,611.73, 13,264.43 and 5,420.25

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Solution

The fourth proportional to 9,611.73, 13,264.43 and 5,420.25 is: 7,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.73 : 13,264.43 = 5,420.25 : x
  2. Step 2: Convert to fraction form
    9,611.73/13,264.43 = 5,420.25/x
  3. Step 3: Cross multiply
    9,611.73x = 13,264.43 × 5,420.25
  4. Step 4: Simplify right side
    9,611.73x = 71,896,499.61
  5. Step 5: Solve for x
    x = 71,896,499.61/9,611.73
  6. Step 6: Final answer
    x = 7,480.08

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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.