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Finding the Fourth Proportional to 8,715.44, 13,065.86 and 6,075.20

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Solution

The fourth proportional to 8,715.44, 13,065.86 and 6,075.20 is: 9,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.44 : 13,065.86 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    8,715.44/13,065.86 = 6,075.20/x
  3. Step 3: Cross multiply
    8,715.44x = 13,065.86 × 6,075.20
  4. Step 4: Simplify right side
    8,715.44x = 79,377,616.97
  5. Step 5: Solve for x
    x = 79,377,616.97/8,715.44
  6. Step 6: Final answer
    x = 9,107.71

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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.