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Finding the Fourth Proportional to 6,306.88, 9,461.55 and 1,864.61

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Solution

The fourth proportional to 6,306.88, 9,461.55 and 1,864.61 is: 2,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.88 : 9,461.55 = 1,864.61 : x
  2. Step 2: Convert to fraction form
    6,306.88/9,461.55 = 1,864.61/x
  3. Step 3: Cross multiply
    6,306.88x = 9,461.55 × 1,864.61
  4. Step 4: Simplify right side
    6,306.88x = 17,642,131.39
  5. Step 5: Solve for x
    x = 17,642,131.39/6,306.88
  6. Step 6: Final answer
    x = 2,797.28

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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.