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Finding the Fourth Proportional to 6,153.84, 9,226.04 and 2,864.57

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Solution

The fourth proportional to 6,153.84, 9,226.04 and 2,864.57 is: 4,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.84 : 9,226.04 = 2,864.57 : x
  2. Step 2: Convert to fraction form
    6,153.84/9,226.04 = 2,864.57/x
  3. Step 3: Cross multiply
    6,153.84x = 9,226.04 × 2,864.57
  4. Step 4: Simplify right side
    6,153.84x = 26,428,576.95
  5. Step 5: Solve for x
    x = 26,428,576.95/6,153.84
  6. Step 6: Final answer
    x = 4,294.65

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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.