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Finding the Fourth Proportional to 6,168.24, 8,509.02 and 4,673.52

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Solution

The fourth proportional to 6,168.24, 8,509.02 and 4,673.52 is: 6,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.24 : 8,509.02 = 4,673.52 : x
  2. Step 2: Convert to fraction form
    6,168.24/8,509.02 = 4,673.52/x
  3. Step 3: Cross multiply
    6,168.24x = 8,509.02 × 4,673.52
  4. Step 4: Simplify right side
    6,168.24x = 39,767,075.15
  5. Step 5: Solve for x
    x = 39,767,075.15/6,168.24
  6. Step 6: Final answer
    x = 6,447.07

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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.