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Finding the Fourth Proportional to 9,661.02, 13,343.22 and 6,835.50

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Solution

The fourth proportional to 9,661.02, 13,343.22 and 6,835.50 is: 9,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.02 : 13,343.22 = 6,835.50 : x
  2. Step 2: Convert to fraction form
    9,661.02/13,343.22 = 6,835.50/x
  3. Step 3: Cross multiply
    9,661.02x = 13,343.22 × 6,835.50
  4. Step 4: Simplify right side
    9,661.02x = 91,207,580.31
  5. Step 5: Solve for x
    x = 91,207,580.31/9,661.02
  6. Step 6: Final answer
    x = 9,440.78

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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.