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Finding the Fourth Proportional to 6,145.86, 9,198.45 and 4,677.06

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Solution

The fourth proportional to 6,145.86, 9,198.45 and 4,677.06 is: 7,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.86 : 9,198.45 = 4,677.06 : x
  2. Step 2: Convert to fraction form
    6,145.86/9,198.45 = 4,677.06/x
  3. Step 3: Cross multiply
    6,145.86x = 9,198.45 × 4,677.06
  4. Step 4: Simplify right side
    6,145.86x = 43,021,702.56
  5. Step 5: Solve for x
    x = 43,021,702.56/6,145.86
  6. Step 6: Final answer
    x = 7,000.11

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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.