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Finding the Fourth Proportional to 6,109.68, 9,164.56 and 2,411.76

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Solution

The fourth proportional to 6,109.68, 9,164.56 and 2,411.76 is: 3,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.68 : 9,164.56 = 2,411.76 : x
  2. Step 2: Convert to fraction form
    6,109.68/9,164.56 = 2,411.76/x
  3. Step 3: Cross multiply
    6,109.68x = 9,164.56 × 2,411.76
  4. Step 4: Simplify right side
    6,109.68x = 22,102,719.23
  5. Step 5: Solve for x
    x = 22,102,719.23/6,109.68
  6. Step 6: Final answer
    x = 3,617.66

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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.