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Finding the Fourth Proportional to 9,656.92, 13,325.60 and 5,679.01

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Solution

The fourth proportional to 9,656.92, 13,325.60 and 5,679.01 is: 7,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.92 : 13,325.60 = 5,679.01 : x
  2. Step 2: Convert to fraction form
    9,656.92/13,325.60 = 5,679.01/x
  3. Step 3: Cross multiply
    9,656.92x = 13,325.60 × 5,679.01
  4. Step 4: Simplify right side
    9,656.92x = 75,676,120.63
  5. Step 5: Solve for x
    x = 75,676,120.63/9,656.92
  6. Step 6: Final answer
    x = 7,836.47

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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.