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Finding the Fourth Proportional to 6,118.80, 9,178.20 and 5,705.70

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Solution

The fourth proportional to 6,118.80, 9,178.20 and 5,705.70 is: 8,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.80 : 9,178.20 = 5,705.70 : x
  2. Step 2: Convert to fraction form
    6,118.80/9,178.20 = 5,705.70/x
  3. Step 3: Cross multiply
    6,118.80x = 9,178.20 × 5,705.70
  4. Step 4: Simplify right side
    6,118.80x = 52,368,055.74
  5. Step 5: Solve for x
    x = 52,368,055.74/6,118.80
  6. Step 6: Final answer
    x = 8,558.55

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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.