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Finding the Fourth Proportional to 9,090.32, 12,538.66 and 7,742.48

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Solution

The fourth proportional to 9,090.32, 12,538.66 and 7,742.48 is: 10,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.32 : 12,538.66 = 7,742.48 : x
  2. Step 2: Convert to fraction form
    9,090.32/12,538.66 = 7,742.48/x
  3. Step 3: Cross multiply
    9,090.32x = 12,538.66 × 7,742.48
  4. Step 4: Simplify right side
    9,090.32x = 97,080,324.28
  5. Step 5: Solve for x
    x = 97,080,324.28/9,090.32
  6. Step 6: Final answer
    x = 10,679.53

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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.