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Finding the Fourth Proportional to 9,071.81, 13,607.72 and 3,228.44

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Solution

The fourth proportional to 9,071.81, 13,607.72 and 3,228.44 is: 4,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.81 : 13,607.72 = 3,228.44 : x
  2. Step 2: Convert to fraction form
    9,071.81/13,607.72 = 3,228.44/x
  3. Step 3: Cross multiply
    9,071.81x = 13,607.72 × 3,228.44
  4. Step 4: Simplify right side
    9,071.81x = 43,931,707.56
  5. Step 5: Solve for x
    x = 43,931,707.56/9,071.81
  6. Step 6: Final answer
    x = 4,842.66

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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.