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Finding the Fourth Proportional to 9,531.60, 13,175.64 and 7,950.48

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Solution

The fourth proportional to 9,531.60, 13,175.64 and 7,950.48 is: 10,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.60 : 13,175.64 = 7,950.48 : x
  2. Step 2: Convert to fraction form
    9,531.60/13,175.64 = 7,950.48/x
  3. Step 3: Cross multiply
    9,531.60x = 13,175.64 × 7,950.48
  4. Step 4: Simplify right side
    9,531.60x = 104,752,662.31
  5. Step 5: Solve for x
    x = 104,752,662.31/9,531.60
  6. Step 6: Final answer
    x = 10,990.04

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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.