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Finding the Fourth Proportional to 6,078.36, 9,101.76 and 5,206.46

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Solution

The fourth proportional to 6,078.36, 9,101.76 and 5,206.46 is: 7,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.36 : 9,101.76 = 5,206.46 : x
  2. Step 2: Convert to fraction form
    6,078.36/9,101.76 = 5,206.46/x
  3. Step 3: Cross multiply
    6,078.36x = 9,101.76 × 5,206.46
  4. Step 4: Simplify right side
    6,078.36x = 47,387,903.86
  5. Step 5: Solve for x
    x = 47,387,903.86/6,078.36
  6. Step 6: Final answer
    x = 7,796.17

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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.