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Finding the Fourth Proportional to 9,616.13, 14,424.19 and 2,690.63

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Solution

The fourth proportional to 9,616.13, 14,424.19 and 2,690.63 is: 4,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.13 : 14,424.19 = 2,690.63 : x
  2. Step 2: Convert to fraction form
    9,616.13/14,424.19 = 2,690.63/x
  3. Step 3: Cross multiply
    9,616.13x = 14,424.19 × 2,690.63
  4. Step 4: Simplify right side
    9,616.13x = 38,810,079.49
  5. Step 5: Solve for x
    x = 38,810,079.49/9,616.13
  6. Step 6: Final answer
    x = 4,035.94

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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.