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Finding the Fourth Proportional to 9,705.80, 13,400.12 and 6,879.16

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Solution

The fourth proportional to 9,705.80, 13,400.12 and 6,879.16 is: 9,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.80 : 13,400.12 = 6,879.16 : x
  2. Step 2: Convert to fraction form
    9,705.80/13,400.12 = 6,879.16/x
  3. Step 3: Cross multiply
    9,705.80x = 13,400.12 × 6,879.16
  4. Step 4: Simplify right side
    9,705.80x = 92,181,569.50
  5. Step 5: Solve for x
    x = 92,181,569.50/9,705.80
  6. Step 6: Final answer
    x = 9,497.58

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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.