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Finding the Fourth Proportional to 6,191.76, 9,276.03 and 3,068.13

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Solution

The fourth proportional to 6,191.76, 9,276.03 and 3,068.13 is: 4,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.76 : 9,276.03 = 3,068.13 : x
  2. Step 2: Convert to fraction form
    6,191.76/9,276.03 = 3,068.13/x
  3. Step 3: Cross multiply
    6,191.76x = 9,276.03 × 3,068.13
  4. Step 4: Simplify right side
    6,191.76x = 28,460,065.92
  5. Step 5: Solve for x
    x = 28,460,065.92/6,191.76
  6. Step 6: Final answer
    x = 4,596.44

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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.