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Finding the Fourth Proportional to 9,051.24, 13,581.96 and 7,071.32

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Solution

The fourth proportional to 9,051.24, 13,581.96 and 7,071.32 is: 10,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.24 : 13,581.96 = 7,071.32 : x
  2. Step 2: Convert to fraction form
    9,051.24/13,581.96 = 7,071.32/x
  3. Step 3: Cross multiply
    9,051.24x = 13,581.96 × 7,071.32
  4. Step 4: Simplify right side
    9,051.24x = 96,042,445.86
  5. Step 5: Solve for x
    x = 96,042,445.86/9,051.24
  6. Step 6: Final answer
    x = 10,610.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.