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Finding the Fourth Proportional to 9,133.97, 13,702.97 and 2,895.89

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Solution

The fourth proportional to 9,133.97, 13,702.97 and 2,895.89 is: 4,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.97 : 13,702.97 = 2,895.89 : x
  2. Step 2: Convert to fraction form
    9,133.97/13,702.97 = 2,895.89/x
  3. Step 3: Cross multiply
    9,133.97x = 13,702.97 × 2,895.89
  4. Step 4: Simplify right side
    9,133.97x = 39,682,232.52
  5. Step 5: Solve for x
    x = 39,682,232.52/9,133.97
  6. Step 6: Final answer
    x = 4,344.47

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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.