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Finding the Fourth Proportional to 9,611.78, 13,265.54 and 5,634.47

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Solution

The fourth proportional to 9,611.78, 13,265.54 and 5,634.47 is: 7,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.78 : 13,265.54 = 5,634.47 : x
  2. Step 2: Convert to fraction form
    9,611.78/13,265.54 = 5,634.47/x
  3. Step 3: Cross multiply
    9,611.78x = 13,265.54 × 5,634.47
  4. Step 4: Simplify right side
    9,611.78x = 74,744,287.16
  5. Step 5: Solve for x
    x = 74,744,287.16/9,611.78
  6. Step 6: Final answer
    x = 7,776.32

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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.