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Finding the Fourth Proportional to 9,682.84, 13,366.39 and 6,543.28

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Solution

The fourth proportional to 9,682.84, 13,366.39 and 6,543.28 is: 9,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.84 : 13,366.39 = 6,543.28 : x
  2. Step 2: Convert to fraction form
    9,682.84/13,366.39 = 6,543.28/x
  3. Step 3: Cross multiply
    9,682.84x = 13,366.39 × 6,543.28
  4. Step 4: Simplify right side
    9,682.84x = 87,460,032.36
  5. Step 5: Solve for x
    x = 87,460,032.36/9,682.84
  6. Step 6: Final answer
    x = 9,032.48

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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.