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Finding the Fourth Proportional to 9,673.18, 13,349.37 and 5,694.10

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Solution

The fourth proportional to 9,673.18, 13,349.37 and 5,694.10 is: 7,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.18 : 13,349.37 = 5,694.10 : x
  2. Step 2: Convert to fraction form
    9,673.18/13,349.37 = 5,694.10/x
  3. Step 3: Cross multiply
    9,673.18x = 13,349.37 × 5,694.10
  4. Step 4: Simplify right side
    9,673.18x = 76,012,647.72
  5. Step 5: Solve for x
    x = 76,012,647.72/9,673.18
  6. Step 6: Final answer
    x = 7,858.08

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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.