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Finding the Fourth Proportional to 6,086.95, 9,114.66 and 5,215.04

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Solution

The fourth proportional to 6,086.95, 9,114.66 and 5,215.04 is: 7,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.95 : 9,114.66 = 5,215.04 : x
  2. Step 2: Convert to fraction form
    6,086.95/9,114.66 = 5,215.04/x
  3. Step 3: Cross multiply
    6,086.95x = 9,114.66 × 5,215.04
  4. Step 4: Simplify right side
    6,086.95x = 47,533,316.49
  5. Step 5: Solve for x
    x = 47,533,316.49/6,086.95
  6. Step 6: Final answer
    x = 7,809.05

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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.