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Finding the Fourth Proportional to 9,175.36, 12,663.84 and 5,448.64

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Solution

The fourth proportional to 9,175.36, 12,663.84 and 5,448.64 is: 7,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.36 : 12,663.84 = 5,448.64 : x
  2. Step 2: Convert to fraction form
    9,175.36/12,663.84 = 5,448.64/x
  3. Step 3: Cross multiply
    9,175.36x = 12,663.84 × 5,448.64
  4. Step 4: Simplify right side
    9,175.36x = 69,000,705.18
  5. Step 5: Solve for x
    x = 69,000,705.18/9,175.36
  6. Step 6: Final answer
    x = 7,520.22

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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.