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Finding the Fourth Proportional to 9,579.77, 14,369.60 and 2,464

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Solution

The fourth proportional to 9,579.77, 14,369.60 and 2,464 is: 3,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.77 : 14,369.60 = 2,464 : x
  2. Step 2: Convert to fraction form
    9,579.77/14,369.60 = 2,464/x
  3. Step 3: Cross multiply
    9,579.77x = 14,369.60 × 2,464
  4. Step 4: Simplify right side
    9,579.77x = 35,406,694.40
  5. Step 5: Solve for x
    x = 35,406,694.40/9,579.77
  6. Step 6: Final answer
    x = 3,695.99

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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.