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Finding the Fourth Proportional to 9,342.70, 12,892.74 and 5,093.77

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Solution

The fourth proportional to 9,342.70, 12,892.74 and 5,093.77 is: 7,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.70 : 12,892.74 = 5,093.77 : x
  2. Step 2: Convert to fraction form
    9,342.70/12,892.74 = 5,093.77/x
  3. Step 3: Cross multiply
    9,342.70x = 12,892.74 × 5,093.77
  4. Step 4: Simplify right side
    9,342.70x = 65,672,652.23
  5. Step 5: Solve for x
    x = 65,672,652.23/9,342.70
  6. Step 6: Final answer
    x = 7,029.30

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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.