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Finding the Fourth Proportional to 9,264.88, 13,893.63 and 5,372.02

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Solution

The fourth proportional to 9,264.88, 13,893.63 and 5,372.02 is: 8,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.88 : 13,893.63 = 5,372.02 : x
  2. Step 2: Convert to fraction form
    9,264.88/13,893.63 = 5,372.02/x
  3. Step 3: Cross multiply
    9,264.88x = 13,893.63 × 5,372.02
  4. Step 4: Simplify right side
    9,264.88x = 74,636,858.23
  5. Step 5: Solve for x
    x = 74,636,858.23/9,264.88
  6. Step 6: Final answer
    x = 8,055.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.