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Finding the Fourth Proportional to 9,644.94, 14,467.26 and 3,071.07

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Solution

The fourth proportional to 9,644.94, 14,467.26 and 3,071.07 is: 4,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.94 : 14,467.26 = 3,071.07 : x
  2. Step 2: Convert to fraction form
    9,644.94/14,467.26 = 3,071.07/x
  3. Step 3: Cross multiply
    9,644.94x = 14,467.26 × 3,071.07
  4. Step 4: Simplify right side
    9,644.94x = 44,429,968.17
  5. Step 5: Solve for x
    x = 44,429,968.17/9,644.94
  6. Step 6: Final answer
    x = 4,606.56

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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.