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Finding the Fourth Proportional to 9,681.10, 13,355.94 and 6,322.75

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Solution

The fourth proportional to 9,681.10, 13,355.94 and 6,322.75 is: 8,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.10 : 13,355.94 = 6,322.75 : x
  2. Step 2: Convert to fraction form
    9,681.10/13,355.94 = 6,322.75/x
  3. Step 3: Cross multiply
    9,681.10x = 13,355.94 × 6,322.75
  4. Step 4: Simplify right side
    9,681.10x = 84,446,269.64
  5. Step 5: Solve for x
    x = 84,446,269.64/9,681.10
  6. Step 6: Final answer
    x = 8,722.80

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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.