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Finding the Fourth Proportional to 9,616.10, 14,426.24 and 2,952.62

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Solution

The fourth proportional to 9,616.10, 14,426.24 and 2,952.62 is: 4,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.10 : 14,426.24 = 2,952.62 : x
  2. Step 2: Convert to fraction form
    9,616.10/14,426.24 = 2,952.62/x
  3. Step 3: Cross multiply
    9,616.10x = 14,426.24 × 2,952.62
  4. Step 4: Simplify right side
    9,616.10x = 42,595,262.54
  5. Step 5: Solve for x
    x = 42,595,262.54/9,616.10
  6. Step 6: Final answer
    x = 4,429.58

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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.