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Finding the Fourth Proportional to 9,596.32, 13,225.20 and 6,939.11

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Solution

The fourth proportional to 9,596.32, 13,225.20 and 6,939.11 is: 9,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.32 : 13,225.20 = 6,939.11 : x
  2. Step 2: Convert to fraction form
    9,596.32/13,225.20 = 6,939.11/x
  3. Step 3: Cross multiply
    9,596.32x = 13,225.20 × 6,939.11
  4. Step 4: Simplify right side
    9,596.32x = 91,771,117.57
  5. Step 5: Solve for x
    x = 91,771,117.57/9,596.32
  6. Step 6: Final answer
    x = 9,563.16

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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.