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Finding the Fourth Proportional to 9,682.58, 13,366.06 and 6,543.02

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Solution

The fourth proportional to 9,682.58, 13,366.06 and 6,543.02 is: 9,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.58 : 13,366.06 = 6,543.02 : x
  2. Step 2: Convert to fraction form
    9,682.58/13,366.06 = 6,543.02/x
  3. Step 3: Cross multiply
    9,682.58x = 13,366.06 × 6,543.02
  4. Step 4: Simplify right side
    9,682.58x = 87,454,414.96
  5. Step 5: Solve for x
    x = 87,454,414.96/9,682.58
  6. Step 6: Final answer
    x = 9,032.14

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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.