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Finding the Fourth Proportional to 9,980.36, 13,779.32 and 6,208.66

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Solution

The fourth proportional to 9,980.36, 13,779.32 and 6,208.66 is: 8,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.36 : 13,779.32 = 6,208.66 : x
  2. Step 2: Convert to fraction form
    9,980.36/13,779.32 = 6,208.66/x
  3. Step 3: Cross multiply
    9,980.36x = 13,779.32 × 6,208.66
  4. Step 4: Simplify right side
    9,980.36x = 85,551,099.09
  5. Step 5: Solve for x
    x = 85,551,099.09/9,980.36
  6. Step 6: Final answer
    x = 8,571.95

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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.