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Finding the Fourth Proportional to 9,392.16, 12,961.44 and 5,664

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Solution

The fourth proportional to 9,392.16, 12,961.44 and 5,664 is: 7,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.16 : 12,961.44 = 5,664 : x
  2. Step 2: Convert to fraction form
    9,392.16/12,961.44 = 5,664/x
  3. Step 3: Cross multiply
    9,392.16x = 12,961.44 × 5,664
  4. Step 4: Simplify right side
    9,392.16x = 73,413,596.16
  5. Step 5: Solve for x
    x = 73,413,596.16/9,392.16
  6. Step 6: Final answer
    x = 7,816.48

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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.