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Finding the Fourth Proportional to 6,860.10, 9,482.49 and 6,315.78

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Solution

The fourth proportional to 6,860.10, 9,482.49 and 6,315.78 is: 8,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.10 : 9,482.49 = 6,315.78 : x
  2. Step 2: Convert to fraction form
    6,860.10/9,482.49 = 6,315.78/x
  3. Step 3: Cross multiply
    6,860.10x = 9,482.49 × 6,315.78
  4. Step 4: Simplify right side
    6,860.10x = 59,889,320.69
  5. Step 5: Solve for x
    x = 59,889,320.69/6,860.10
  6. Step 6: Final answer
    x = 8,730.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.