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Finding the Fourth Proportional to 6,048.36, 9,075.12 and 3,416.22

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Solution

The fourth proportional to 6,048.36, 9,075.12 and 3,416.22 is: 5,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.36 : 9,075.12 = 3,416.22 : x
  2. Step 2: Convert to fraction form
    6,048.36/9,075.12 = 3,416.22/x
  3. Step 3: Cross multiply
    6,048.36x = 9,075.12 × 3,416.22
  4. Step 4: Simplify right side
    6,048.36x = 31,002,606.45
  5. Step 5: Solve for x
    x = 31,002,606.45/6,048.36
  6. Step 6: Final answer
    x = 5,125.79

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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.