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Finding the Fourth Proportional to 9,392.32, 12,960.64 and 5,410.76

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Solution

The fourth proportional to 9,392.32, 12,960.64 and 5,410.76 is: 7,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.32 : 12,960.64 = 5,410.76 : x
  2. Step 2: Convert to fraction form
    9,392.32/12,960.64 = 5,410.76/x
  3. Step 3: Cross multiply
    9,392.32x = 12,960.64 × 5,410.76
  4. Step 4: Simplify right side
    9,392.32x = 70,126,912.49
  5. Step 5: Solve for x
    x = 70,126,912.49/9,392.32
  6. Step 6: Final answer
    x = 7,466.41

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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.