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Finding the Fourth Proportional to 6,075.49, 9,108.19 and 4,230.20

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Solution

The fourth proportional to 6,075.49, 9,108.19 and 4,230.20 is: 6,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.49 : 9,108.19 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    6,075.49/9,108.19 = 4,230.20/x
  3. Step 3: Cross multiply
    6,075.49x = 9,108.19 × 4,230.20
  4. Step 4: Simplify right side
    6,075.49x = 38,529,465.34
  5. Step 5: Solve for x
    x = 38,529,465.34/6,075.49
  6. Step 6: Final answer
    x = 6,341.79

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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.