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Finding the Fourth Proportional to 9,342.61, 12,892.73 and 5,150.86

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Solution

The fourth proportional to 9,342.61, 12,892.73 and 5,150.86 is: 7,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.61 : 12,892.73 = 5,150.86 : x
  2. Step 2: Convert to fraction form
    9,342.61/12,892.73 = 5,150.86/x
  3. Step 3: Cross multiply
    9,342.61x = 12,892.73 × 5,150.86
  4. Step 4: Simplify right side
    9,342.61x = 66,408,589.26
  5. Step 5: Solve for x
    x = 66,408,589.26/9,342.61
  6. Step 6: Final answer
    x = 7,108.14

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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.