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Finding the Fourth Proportional to 9,858.67, 13,581.84 and 6,869.08

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Solution

The fourth proportional to 9,858.67, 13,581.84 and 6,869.08 is: 9,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.67 : 13,581.84 = 6,869.08 : x
  2. Step 2: Convert to fraction form
    9,858.67/13,581.84 = 6,869.08/x
  3. Step 3: Cross multiply
    9,858.67x = 13,581.84 × 6,869.08
  4. Step 4: Simplify right side
    9,858.67x = 93,294,745.51
  5. Step 5: Solve for x
    x = 93,294,745.51/9,858.67
  6. Step 6: Final answer
    x = 9,463.22

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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.