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Finding the Fourth Proportional to 6,878.95, 10,266.45 and 6,214.65

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Solution

The fourth proportional to 6,878.95, 10,266.45 and 6,214.65 is: 9,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.95 : 10,266.45 = 6,214.65 : x
  2. Step 2: Convert to fraction form
    6,878.95/10,266.45 = 6,214.65/x
  3. Step 3: Cross multiply
    6,878.95x = 10,266.45 × 6,214.65
  4. Step 4: Simplify right side
    6,878.95x = 63,802,360.56
  5. Step 5: Solve for x
    x = 63,802,360.56/6,878.95
  6. Step 6: Final answer
    x = 9,275.01

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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.