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Finding the Fourth Proportional to 9,655.36, 13,343.20 and 7,859.36

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Solution

The fourth proportional to 9,655.36, 13,343.20 and 7,859.36 is: 10,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.36 : 13,343.20 = 7,859.36 : x
  2. Step 2: Convert to fraction form
    9,655.36/13,343.20 = 7,859.36/x
  3. Step 3: Cross multiply
    9,655.36x = 13,343.20 × 7,859.36
  4. Step 4: Simplify right side
    9,655.36x = 104,869,012.35
  5. Step 5: Solve for x
    x = 104,869,012.35/9,655.36
  6. Step 6: Final answer
    x = 10,861.22

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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.