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Finding the Fourth Proportional to 9,265.54, 13,899.64 and 3,024

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Solution

The fourth proportional to 9,265.54, 13,899.64 and 3,024 is: 4,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.54 : 13,899.64 = 3,024 : x
  2. Step 2: Convert to fraction form
    9,265.54/13,899.64 = 3,024/x
  3. Step 3: Cross multiply
    9,265.54x = 13,899.64 × 3,024
  4. Step 4: Simplify right side
    9,265.54x = 42,032,511.36
  5. Step 5: Solve for x
    x = 42,032,511.36/9,265.54
  6. Step 6: Final answer
    x = 4,536.43

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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.