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Finding the Fourth Proportional to 6,728.76, 9,285.76 and 4,075.52

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Solution

The fourth proportional to 6,728.76, 9,285.76 and 4,075.52 is: 5,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.76 : 9,285.76 = 4,075.52 : x
  2. Step 2: Convert to fraction form
    6,728.76/9,285.76 = 4,075.52/x
  3. Step 3: Cross multiply
    6,728.76x = 9,285.76 × 4,075.52
  4. Step 4: Simplify right side
    6,728.76x = 37,844,300.60
  5. Step 5: Solve for x
    x = 37,844,300.60/6,728.76
  6. Step 6: Final answer
    x = 5,624.26

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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.