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Finding the Fourth Proportional to 9,356.64, 12,912.84 and 5,377.92

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Solution

The fourth proportional to 9,356.64, 12,912.84 and 5,377.92 is: 7,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.64 : 12,912.84 = 5,377.92 : x
  2. Step 2: Convert to fraction form
    9,356.64/12,912.84 = 5,377.92/x
  3. Step 3: Cross multiply
    9,356.64x = 12,912.84 × 5,377.92
  4. Step 4: Simplify right side
    9,356.64x = 69,444,220.49
  5. Step 5: Solve for x
    x = 69,444,220.49/9,356.64
  6. Step 6: Final answer
    x = 7,421.92

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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.