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Finding the Fourth Proportional to 6,075.34, 9,102.75 and 3,730.47

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Solution

The fourth proportional to 6,075.34, 9,102.75 and 3,730.47 is: 5,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.34 : 9,102.75 = 3,730.47 : x
  2. Step 2: Convert to fraction form
    6,075.34/9,102.75 = 3,730.47/x
  3. Step 3: Cross multiply
    6,075.34x = 9,102.75 × 3,730.47
  4. Step 4: Simplify right side
    6,075.34x = 33,957,508.65
  5. Step 5: Solve for x
    x = 33,957,508.65/6,075.34
  6. Step 6: Final answer
    x = 5,589.40

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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.