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Finding the Fourth Proportional to 6,156.68, 9,243.57 and 4,278.14

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Solution

The fourth proportional to 6,156.68, 9,243.57 and 4,278.14 is: 6,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.68 : 9,243.57 = 4,278.14 : x
  2. Step 2: Convert to fraction form
    6,156.68/9,243.57 = 4,278.14/x
  3. Step 3: Cross multiply
    6,156.68x = 9,243.57 × 4,278.14
  4. Step 4: Simplify right side
    6,156.68x = 39,545,298.97
  5. Step 5: Solve for x
    x = 39,545,298.97/6,156.68
  6. Step 6: Final answer
    x = 6,423.16

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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.