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Finding the Fourth Proportional to 6,884.04, 9,499.50 and 4,089

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Solution

The fourth proportional to 6,884.04, 9,499.50 and 4,089 is: 5,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.04 : 9,499.50 = 4,089 : x
  2. Step 2: Convert to fraction form
    6,884.04/9,499.50 = 4,089/x
  3. Step 3: Cross multiply
    6,884.04x = 9,499.50 × 4,089
  4. Step 4: Simplify right side
    6,884.04x = 38,843,455.50
  5. Step 5: Solve for x
    x = 38,843,455.50/6,884.04
  6. Step 6: Final answer
    x = 5,642.54

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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.