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Finding the Fourth Proportional to 6,889.32, 9,507.30 and 4,094.76

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Solution

The fourth proportional to 6,889.32, 9,507.30 and 4,094.76 is: 5,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.32 : 9,507.30 = 4,094.76 : x
  2. Step 2: Convert to fraction form
    6,889.32/9,507.30 = 4,094.76/x
  3. Step 3: Cross multiply
    6,889.32x = 9,507.30 × 4,094.76
  4. Step 4: Simplify right side
    6,889.32x = 38,930,111.75
  5. Step 5: Solve for x
    x = 38,930,111.75/6,889.32
  6. Step 6: Final answer
    x = 5,650.79

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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.