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Finding the Fourth Proportional to 8,968.10, 13,459.11 and 6,214.08

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Solution

The fourth proportional to 8,968.10, 13,459.11 and 6,214.08 is: 9,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.10 : 13,459.11 = 6,214.08 : x
  2. Step 2: Convert to fraction form
    8,968.10/13,459.11 = 6,214.08/x
  3. Step 3: Cross multiply
    8,968.10x = 13,459.11 × 6,214.08
  4. Step 4: Simplify right side
    8,968.10x = 83,635,986.27
  5. Step 5: Solve for x
    x = 83,635,986.27/8,968.10
  6. Step 6: Final answer
    x = 9,325.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.