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Finding the Fourth Proportional to 9,772.24, 13,477.52 and 6,412.44

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Solution

The fourth proportional to 9,772.24, 13,477.52 and 6,412.44 is: 8,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.24 : 13,477.52 = 6,412.44 : x
  2. Step 2: Convert to fraction form
    9,772.24/13,477.52 = 6,412.44/x
  3. Step 3: Cross multiply
    9,772.24x = 13,477.52 × 6,412.44
  4. Step 4: Simplify right side
    9,772.24x = 86,423,788.35
  5. Step 5: Solve for x
    x = 86,423,788.35/9,772.24
  6. Step 6: Final answer
    x = 8,843.81

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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.