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Finding the Fourth Proportional to 6,175.24, 9,259.62 and 4,633

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Solution

The fourth proportional to 6,175.24, 9,259.62 and 4,633 is: 6,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.24 : 9,259.62 = 4,633 : x
  2. Step 2: Convert to fraction form
    6,175.24/9,259.62 = 4,633/x
  3. Step 3: Cross multiply
    6,175.24x = 9,259.62 × 4,633
  4. Step 4: Simplify right side
    6,175.24x = 42,899,819.46
  5. Step 5: Solve for x
    x = 42,899,819.46/6,175.24
  6. Step 6: Final answer
    x = 6,947.07

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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.