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Finding the Fourth Proportional to 6,275.84, 9,367.92 and 5,819

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Solution

The fourth proportional to 6,275.84, 9,367.92 and 5,819 is: 8,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.84 : 9,367.92 = 5,819 : x
  2. Step 2: Convert to fraction form
    6,275.84/9,367.92 = 5,819/x
  3. Step 3: Cross multiply
    6,275.84x = 9,367.92 × 5,819
  4. Step 4: Simplify right side
    6,275.84x = 54,511,926.48
  5. Step 5: Solve for x
    x = 54,511,926.48/6,275.84
  6. Step 6: Final answer
    x = 8,686.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.