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Finding the Fourth Proportional to 9,366.74, 14,055.36 and 5,856.20

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Solution

The fourth proportional to 9,366.74, 14,055.36 and 5,856.20 is: 8,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.74 : 14,055.36 = 5,856.20 : x
  2. Step 2: Convert to fraction form
    9,366.74/14,055.36 = 5,856.20/x
  3. Step 3: Cross multiply
    9,366.74x = 14,055.36 × 5,856.20
  4. Step 4: Simplify right side
    9,366.74x = 82,310,999.23
  5. Step 5: Solve for x
    x = 82,310,999.23/9,366.74
  6. Step 6: Final answer
    x = 8,787.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.