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Finding the Fourth Proportional to 9,275.36, 13,894.49 and 5,575.58

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Solution

The fourth proportional to 9,275.36, 13,894.49 and 5,575.58 is: 8,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.36 : 13,894.49 = 5,575.58 : x
  2. Step 2: Convert to fraction form
    9,275.36/13,894.49 = 5,575.58/x
  3. Step 3: Cross multiply
    9,275.36x = 13,894.49 × 5,575.58
  4. Step 4: Simplify right side
    9,275.36x = 77,469,840.55
  5. Step 5: Solve for x
    x = 77,469,840.55/9,275.36
  6. Step 6: Final answer
    x = 8,352.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.