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Finding the Fourth Proportional to 9,745.59, 14,611.91 and 5,365.11

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Solution

The fourth proportional to 9,745.59, 14,611.91 and 5,365.11 is: 8,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.59 : 14,611.91 = 5,365.11 : x
  2. Step 2: Convert to fraction form
    9,745.59/14,611.91 = 5,365.11/x
  3. Step 3: Cross multiply
    9,745.59x = 14,611.91 × 5,365.11
  4. Step 4: Simplify right side
    9,745.59x = 78,394,477.63
  5. Step 5: Solve for x
    x = 78,394,477.63/9,745.59
  6. Step 6: Final answer
    x = 8,044.10

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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.