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Finding the Fourth Proportional to 9,635.36, 14,455 and 5,477.36

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Solution

The fourth proportional to 9,635.36, 14,455 and 5,477.36 is: 8,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.36 : 14,455 = 5,477.36 : x
  2. Step 2: Convert to fraction form
    9,635.36/14,455 = 5,477.36/x
  3. Step 3: Cross multiply
    9,635.36x = 14,455 × 5,477.36
  4. Step 4: Simplify right side
    9,635.36x = 79,175,238.80
  5. Step 5: Solve for x
    x = 79,175,238.80/9,635.36
  6. Step 6: Final answer
    x = 8,217.15

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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.