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Finding the Fourth Proportional to 9,745.84, 14,612.28 and 5,365.36

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Solution

The fourth proportional to 9,745.84, 14,612.28 and 5,365.36 is: 8,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.84 : 14,612.28 = 5,365.36 : x
  2. Step 2: Convert to fraction form
    9,745.84/14,612.28 = 5,365.36/x
  3. Step 3: Cross multiply
    9,745.84x = 14,612.28 × 5,365.36
  4. Step 4: Simplify right side
    9,745.84x = 78,400,142.62
  5. Step 5: Solve for x
    x = 78,400,142.62/9,745.84
  6. Step 6: Final answer
    x = 8,044.47

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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.