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Finding the Fourth Proportional to 9,586.94, 14,373.09 and 3,009.32

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Solution

The fourth proportional to 9,586.94, 14,373.09 and 3,009.32 is: 4,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.94 : 14,373.09 = 3,009.32 : x
  2. Step 2: Convert to fraction form
    9,586.94/14,373.09 = 3,009.32/x
  3. Step 3: Cross multiply
    9,586.94x = 14,373.09 × 3,009.32
  4. Step 4: Simplify right side
    9,586.94x = 43,253,227.20
  5. Step 5: Solve for x
    x = 43,253,227.20/9,586.94
  6. Step 6: Final answer
    x = 4,511.68

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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.