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Finding the Fourth Proportional to 9,611.17, 13,263.42 and 5,419.42

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Solution

The fourth proportional to 9,611.17, 13,263.42 and 5,419.42 is: 7,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.17 : 13,263.42 = 5,419.42 : x
  2. Step 2: Convert to fraction form
    9,611.17/13,263.42 = 5,419.42/x
  3. Step 3: Cross multiply
    9,611.17x = 13,263.42 × 5,419.42
  4. Step 4: Simplify right side
    9,611.17x = 71,880,043.62
  5. Step 5: Solve for x
    x = 71,880,043.62/9,611.17
  6. Step 6: Final answer
    x = 7,478.80

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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.