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Finding the Fourth Proportional to 6,678.86, 9,218.75 and 4,689.90

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Solution

The fourth proportional to 6,678.86, 9,218.75 and 4,689.90 is: 6,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.86 : 9,218.75 = 4,689.90 : x
  2. Step 2: Convert to fraction form
    6,678.86/9,218.75 = 4,689.90/x
  3. Step 3: Cross multiply
    6,678.86x = 9,218.75 × 4,689.90
  4. Step 4: Simplify right side
    6,678.86x = 43,235,015.63
  5. Step 5: Solve for x
    x = 43,235,015.63/6,678.86
  6. Step 6: Final answer
    x = 6,473.41

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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.