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Finding the Fourth Proportional to 9,346.32, 12,896.56 and 5,808.24

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Solution

The fourth proportional to 9,346.32, 12,896.56 and 5,808.24 is: 8,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.32 : 12,896.56 = 5,808.24 : x
  2. Step 2: Convert to fraction form
    9,346.32/12,896.56 = 5,808.24/x
  3. Step 3: Cross multiply
    9,346.32x = 12,896.56 × 5,808.24
  4. Step 4: Simplify right side
    9,346.32x = 74,906,315.65
  5. Step 5: Solve for x
    x = 74,906,315.65/9,346.32
  6. Step 6: Final answer
    x = 8,014.53

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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.