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Finding the Fourth Proportional to 9,564.75, 14,321.41 and 5,398.52

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Solution

The fourth proportional to 9,564.75, 14,321.41 and 5,398.52 is: 8,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.75 : 14,321.41 = 5,398.52 : x
  2. Step 2: Convert to fraction form
    9,564.75/14,321.41 = 5,398.52/x
  3. Step 3: Cross multiply
    9,564.75x = 14,321.41 × 5,398.52
  4. Step 4: Simplify right side
    9,564.75x = 77,314,333.21
  5. Step 5: Solve for x
    x = 77,314,333.21/9,564.75
  6. Step 6: Final answer
    x = 8,083.26

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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.