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Finding the Fourth Proportional to 9,148.88, 12,617.94 and 5,609.60

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Solution

The fourth proportional to 9,148.88, 12,617.94 and 5,609.60 is: 7,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.88 : 12,617.94 = 5,609.60 : x
  2. Step 2: Convert to fraction form
    9,148.88/12,617.94 = 5,609.60/x
  3. Step 3: Cross multiply
    9,148.88x = 12,617.94 × 5,609.60
  4. Step 4: Simplify right side
    9,148.88x = 70,781,596.22
  5. Step 5: Solve for x
    x = 70,781,596.22/9,148.88
  6. Step 6: Final answer
    x = 7,736.64

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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.