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Finding the Fourth Proportional to 9,090.86, 12,542.67 and 5,507.14

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Solution

The fourth proportional to 9,090.86, 12,542.67 and 5,507.14 is: 7,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.86 : 12,542.67 = 5,507.14 : x
  2. Step 2: Convert to fraction form
    9,090.86/12,542.67 = 5,507.14/x
  3. Step 3: Cross multiply
    9,090.86x = 12,542.67 × 5,507.14
  4. Step 4: Simplify right side
    9,090.86x = 69,074,247.31
  5. Step 5: Solve for x
    x = 69,074,247.31/9,090.86
  6. Step 6: Final answer
    x = 7,598.21

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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.