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Finding the Fourth Proportional to 9,876.95, 13,630.41 and 5,897.33

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Solution

The fourth proportional to 9,876.95, 13,630.41 and 5,897.33 is: 8,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.95 : 13,630.41 = 5,897.33 : x
  2. Step 2: Convert to fraction form
    9,876.95/13,630.41 = 5,897.33/x
  3. Step 3: Cross multiply
    9,876.95x = 13,630.41 × 5,897.33
  4. Step 4: Simplify right side
    9,876.95x = 80,382,957.65
  5. Step 5: Solve for x
    x = 80,382,957.65/9,876.95
  6. Step 6: Final answer
    x = 8,138.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.