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Finding the Fourth Proportional to 9,611.95, 13,265.42 and 5,834.24

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Solution

The fourth proportional to 9,611.95, 13,265.42 and 5,834.24 is: 8,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.95 : 13,265.42 = 5,834.24 : x
  2. Step 2: Convert to fraction form
    9,611.95/13,265.42 = 5,834.24/x
  3. Step 3: Cross multiply
    9,611.95x = 13,265.42 × 5,834.24
  4. Step 4: Simplify right side
    9,611.95x = 77,393,647.97
  5. Step 5: Solve for x
    x = 77,393,647.97/9,611.95
  6. Step 6: Final answer
    x = 8,051.82

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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.