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Finding the Fourth Proportional to 9,494.97, 13,100.39 and 5,461.58

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Solution

The fourth proportional to 9,494.97, 13,100.39 and 5,461.58 is: 7,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.97 : 13,100.39 = 5,461.58 : x
  2. Step 2: Convert to fraction form
    9,494.97/13,100.39 = 5,461.58/x
  3. Step 3: Cross multiply
    9,494.97x = 13,100.39 × 5,461.58
  4. Step 4: Simplify right side
    9,494.97x = 71,548,866.22
  5. Step 5: Solve for x
    x = 71,548,866.22/9,494.97
  6. Step 6: Final answer
    x = 7,535.45

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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.