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Finding the Fourth Proportional to 6,965.46, 9,616.52 and 4,579.20

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Solution

The fourth proportional to 6,965.46, 9,616.52 and 4,579.20 is: 6,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.46 : 9,616.52 = 4,579.20 : x
  2. Step 2: Convert to fraction form
    6,965.46/9,616.52 = 4,579.20/x
  3. Step 3: Cross multiply
    6,965.46x = 9,616.52 × 4,579.20
  4. Step 4: Simplify right side
    6,965.46x = 44,035,979.83
  5. Step 5: Solve for x
    x = 44,035,979.83/6,965.46
  6. Step 6: Final answer
    x = 6,322.05

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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.