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Finding the Fourth Proportional to 6,194, 9,290.96 and 2,904.76

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Solution

The fourth proportional to 6,194, 9,290.96 and 2,904.76 is: 4,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 9,290.96 = 2,904.76 : x
  2. Step 2: Convert to fraction form
    6,194/9,290.96 = 2,904.76/x
  3. Step 3: Cross multiply
    6,194x = 9,290.96 × 2,904.76
  4. Step 4: Simplify right side
    6,194x = 26,988,008.97
  5. Step 5: Solve for x
    x = 26,988,008.97/6,194
  6. Step 6: Final answer
    x = 4,357.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.