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Finding the Fourth Proportional to 6,118.38, 9,180.81 and 4,666.32

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Solution

The fourth proportional to 6,118.38, 9,180.81 and 4,666.32 is: 7,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.38 : 9,180.81 = 4,666.32 : x
  2. Step 2: Convert to fraction form
    6,118.38/9,180.81 = 4,666.32/x
  3. Step 3: Cross multiply
    6,118.38x = 9,180.81 × 4,666.32
  4. Step 4: Simplify right side
    6,118.38x = 42,840,597.32
  5. Step 5: Solve for x
    x = 42,840,597.32/6,118.38
  6. Step 6: Final answer
    x = 7,001.95

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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.