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Finding the Fourth Proportional to 9,633.60, 13,284.81 and 6,562.08

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Solution

The fourth proportional to 9,633.60, 13,284.81 and 6,562.08 is: 9,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.60 : 13,284.81 = 6,562.08 : x
  2. Step 2: Convert to fraction form
    9,633.60/13,284.81 = 6,562.08/x
  3. Step 3: Cross multiply
    9,633.60x = 13,284.81 × 6,562.08
  4. Step 4: Simplify right side
    9,633.60x = 87,175,986.00
  5. Step 5: Solve for x
    x = 87,175,986.00/9,633.60
  6. Step 6: Final answer
    x = 9,049.16

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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.