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Finding the Fourth Proportional to 9,682.86, 13,362.64 and 6,855.28

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Solution

The fourth proportional to 9,682.86, 13,362.64 and 6,855.28 is: 9,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.86 : 13,362.64 = 6,855.28 : x
  2. Step 2: Convert to fraction form
    9,682.86/13,362.64 = 6,855.28/x
  3. Step 3: Cross multiply
    9,682.86x = 13,362.64 × 6,855.28
  4. Step 4: Simplify right side
    9,682.86x = 91,604,638.74
  5. Step 5: Solve for x
    x = 91,604,638.74/9,682.86
  6. Step 6: Final answer
    x = 9,460.49

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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.