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Finding the Fourth Proportional to 6,289.14, 8,678.96 and 3,417.93

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Solution

The fourth proportional to 6,289.14, 8,678.96 and 3,417.93 is: 4,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.14 : 8,678.96 = 3,417.93 : x
  2. Step 2: Convert to fraction form
    6,289.14/8,678.96 = 3,417.93/x
  3. Step 3: Cross multiply
    6,289.14x = 8,678.96 × 3,417.93
  4. Step 4: Simplify right side
    6,289.14x = 29,664,060.66
  5. Step 5: Solve for x
    x = 29,664,060.66/6,289.14
  6. Step 6: Final answer
    x = 4,716.71

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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.