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Finding the Fourth Proportional to 9,411.36, 14,111.64 and 3,564.24

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Solution

The fourth proportional to 9,411.36, 14,111.64 and 3,564.24 is: 5,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.36 : 14,111.64 = 3,564.24 : x
  2. Step 2: Convert to fraction form
    9,411.36/14,111.64 = 3,564.24/x
  3. Step 3: Cross multiply
    9,411.36x = 14,111.64 × 3,564.24
  4. Step 4: Simplify right side
    9,411.36x = 50,297,271.75
  5. Step 5: Solve for x
    x = 50,297,271.75/9,411.36
  6. Step 6: Final answer
    x = 5,344.31

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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.