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Finding the Fourth Proportional to 9,777.24, 13,486.44 and 6,420.24

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Solution

The fourth proportional to 9,777.24, 13,486.44 and 6,420.24 is: 8,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.24 : 13,486.44 = 6,420.24 : x
  2. Step 2: Convert to fraction form
    9,777.24/13,486.44 = 6,420.24/x
  3. Step 3: Cross multiply
    9,777.24x = 13,486.44 × 6,420.24
  4. Step 4: Simplify right side
    9,777.24x = 86,586,181.55
  5. Step 5: Solve for x
    x = 86,586,181.55/9,777.24
  6. Step 6: Final answer
    x = 8,855.89

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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.