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Finding the Fourth Proportional to 9,912.56, 13,678.92 and 5,931.32

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Solution

The fourth proportional to 9,912.56, 13,678.92 and 5,931.32 is: 8,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.56 : 13,678.92 = 5,931.32 : x
  2. Step 2: Convert to fraction form
    9,912.56/13,678.92 = 5,931.32/x
  3. Step 3: Cross multiply
    9,912.56x = 13,678.92 × 5,931.32
  4. Step 4: Simplify right side
    9,912.56x = 81,134,051.77
  5. Step 5: Solve for x
    x = 81,134,051.77/9,912.56
  6. Step 6: Final answer
    x = 8,184.97

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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.