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Finding the Fourth Proportional to 9,636.16, 13,290.60 and 6,992.32

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Solution

The fourth proportional to 9,636.16, 13,290.60 and 6,992.32 is: 9,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.16 : 13,290.60 = 6,992.32 : x
  2. Step 2: Convert to fraction form
    9,636.16/13,290.60 = 6,992.32/x
  3. Step 3: Cross multiply
    9,636.16x = 13,290.60 × 6,992.32
  4. Step 4: Simplify right side
    9,636.16x = 92,932,128.19
  5. Step 5: Solve for x
    x = 92,932,128.19/9,636.16
  6. Step 6: Final answer
    x = 9,644.10

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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.