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Finding the Fourth Proportional to 9,482.24, 13,075.72 and 6,294.38

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Solution

The fourth proportional to 9,482.24, 13,075.72 and 6,294.38 is: 8,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.24 : 13,075.72 = 6,294.38 : x
  2. Step 2: Convert to fraction form
    9,482.24/13,075.72 = 6,294.38/x
  3. Step 3: Cross multiply
    9,482.24x = 13,075.72 × 6,294.38
  4. Step 4: Simplify right side
    9,482.24x = 82,303,550.45
  5. Step 5: Solve for x
    x = 82,303,550.45/9,482.24
  6. Step 6: Final answer
    x = 8,679.76

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Why These Related Problems?

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