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Finding the Fourth Proportional to 37,586.08, 56,382.32 and 9,884

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Solution

The fourth proportional to 37,586.08, 56,382.32 and 9,884 is: 14,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.08 : 56,382.32 = 9,884 : x
  2. Step 2: Convert to fraction form
    37,586.08/56,382.32 = 9,884/x
  3. Step 3: Cross multiply
    37,586.08x = 56,382.32 × 9,884
  4. Step 4: Simplify right side
    37,586.08x = 557,282,850.88
  5. Step 5: Solve for x
    x = 557,282,850.88/37,586.08
  6. Step 6: Final answer
    x = 14,826.84

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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.