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Finding the Fourth Proportional to 9,094.46, 12,548.47 and 5,733.32

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Solution

The fourth proportional to 9,094.46, 12,548.47 and 5,733.32 is: 7,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.46 : 12,548.47 = 5,733.32 : x
  2. Step 2: Convert to fraction form
    9,094.46/12,548.47 = 5,733.32/x
  3. Step 3: Cross multiply
    9,094.46x = 12,548.47 × 5,733.32
  4. Step 4: Simplify right side
    9,094.46x = 71,944,316.94
  5. Step 5: Solve for x
    x = 71,944,316.94/9,094.46
  6. Step 6: Final answer
    x = 7,910.79

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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.