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Finding the Fourth Proportional to 9,699.36, 13,387.96 and 6,342.70

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Solution

The fourth proportional to 9,699.36, 13,387.96 and 6,342.70 is: 8,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.36 : 13,387.96 = 6,342.70 : x
  2. Step 2: Convert to fraction form
    9,699.36/13,387.96 = 6,342.70/x
  3. Step 3: Cross multiply
    9,699.36x = 13,387.96 × 6,342.70
  4. Step 4: Simplify right side
    9,699.36x = 84,915,813.89
  5. Step 5: Solve for x
    x = 84,915,813.89/9,699.36
  6. Step 6: Final answer
    x = 8,754.79

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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.