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Finding the Fourth Proportional to 6,194.03, 9,293.15 and 3,417.17

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Solution

The fourth proportional to 6,194.03, 9,293.15 and 3,417.17 is: 5,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.03 : 9,293.15 = 3,417.17 : x
  2. Step 2: Convert to fraction form
    6,194.03/9,293.15 = 3,417.17/x
  3. Step 3: Cross multiply
    6,194.03x = 9,293.15 × 3,417.17
  4. Step 4: Simplify right side
    6,194.03x = 31,756,235.46
  5. Step 5: Solve for x
    x = 31,756,235.46/6,194.03
  6. Step 6: Final answer
    x = 5,126.91

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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.