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Finding the Fourth Proportional to 9,892.94, 13,663.08 and 7,681.37

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Solution

The fourth proportional to 9,892.94, 13,663.08 and 7,681.37 is: 10,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.94 : 13,663.08 = 7,681.37 : x
  2. Step 2: Convert to fraction form
    9,892.94/13,663.08 = 7,681.37/x
  3. Step 3: Cross multiply
    9,892.94x = 13,663.08 × 7,681.37
  4. Step 4: Simplify right side
    9,892.94x = 104,951,104.50
  5. Step 5: Solve for x
    x = 104,951,104.50/9,892.94
  6. Step 6: Final answer
    x = 10,608.69

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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.