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Finding the Fourth Proportional to 9,986.64, 13,779.09 and 6,105.06

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Solution

The fourth proportional to 9,986.64, 13,779.09 and 6,105.06 is: 8,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.64 : 13,779.09 = 6,105.06 : x
  2. Step 2: Convert to fraction form
    9,986.64/13,779.09 = 6,105.06/x
  3. Step 3: Cross multiply
    9,986.64x = 13,779.09 × 6,105.06
  4. Step 4: Simplify right side
    9,986.64x = 84,122,171.20
  5. Step 5: Solve for x
    x = 84,122,171.20/9,986.64
  6. Step 6: Final answer
    x = 8,423.47

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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.