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Finding the Fourth Proportional to 6,868.08, 9,478.08 and 4,075.20

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Solution

The fourth proportional to 6,868.08, 9,478.08 and 4,075.20 is: 5,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.08 : 9,478.08 = 4,075.20 : x
  2. Step 2: Convert to fraction form
    6,868.08/9,478.08 = 4,075.20/x
  3. Step 3: Cross multiply
    6,868.08x = 9,478.08 × 4,075.20
  4. Step 4: Simplify right side
    6,868.08x = 38,625,071.62
  5. Step 5: Solve for x
    x = 38,625,071.62/6,868.08
  6. Step 6: Final answer
    x = 5,623.85

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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.