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Finding the Fourth Proportional to 9,071.36, 13,605.12 and 4,137.76

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Solution

The fourth proportional to 9,071.36, 13,605.12 and 4,137.76 is: 6,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.36 : 13,605.12 = 4,137.76 : x
  2. Step 2: Convert to fraction form
    9,071.36/13,605.12 = 4,137.76/x
  3. Step 3: Cross multiply
    9,071.36x = 13,605.12 × 4,137.76
  4. Step 4: Simplify right side
    9,071.36x = 56,294,721.33
  5. Step 5: Solve for x
    x = 56,294,721.33/9,071.36
  6. Step 6: Final answer
    x = 6,205.76

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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.