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Finding the Fourth Proportional to 6,004.80, 9,002.88 and 4,052.16

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Solution

The fourth proportional to 6,004.80, 9,002.88 and 4,052.16 is: 6,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.80 : 9,002.88 = 4,052.16 : x
  2. Step 2: Convert to fraction form
    6,004.80/9,002.88 = 4,052.16/x
  3. Step 3: Cross multiply
    6,004.80x = 9,002.88 × 4,052.16
  4. Step 4: Simplify right side
    6,004.80x = 36,481,110.22
  5. Step 5: Solve for x
    x = 36,481,110.22/6,004.80
  6. Step 6: Final answer
    x = 6,075.32

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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.