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Finding the Fourth Proportional to 9,566.92, 13,200.02 and 7,331.32

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Solution

The fourth proportional to 9,566.92, 13,200.02 and 7,331.32 is: 10,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.92 : 13,200.02 = 7,331.32 : x
  2. Step 2: Convert to fraction form
    9,566.92/13,200.02 = 7,331.32/x
  3. Step 3: Cross multiply
    9,566.92x = 13,200.02 × 7,331.32
  4. Step 4: Simplify right side
    9,566.92x = 96,773,570.63
  5. Step 5: Solve for x
    x = 96,773,570.63/9,566.92
  6. Step 6: Final answer
    x = 10,115.44

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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.