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Finding the Fourth Proportional to 9,071.21, 13,611 and 4,142.36

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Solution

The fourth proportional to 9,071.21, 13,611 and 4,142.36 is: 6,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.21 : 13,611 = 4,142.36 : x
  2. Step 2: Convert to fraction form
    9,071.21/13,611 = 4,142.36/x
  3. Step 3: Cross multiply
    9,071.21x = 13,611 × 4,142.36
  4. Step 4: Simplify right side
    9,071.21x = 56,381,661.96
  5. Step 5: Solve for x
    x = 56,381,661.96/9,071.21
  6. Step 6: Final answer
    x = 6,215.45

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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.