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Finding the Fourth Proportional to 9,876.70, 13,630.89 and 5,900.01

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Solution

The fourth proportional to 9,876.70, 13,630.89 and 5,900.01 is: 8,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.70 : 13,630.89 = 5,900.01 : x
  2. Step 2: Convert to fraction form
    9,876.70/13,630.89 = 5,900.01/x
  3. Step 3: Cross multiply
    9,876.70x = 13,630.89 × 5,900.01
  4. Step 4: Simplify right side
    9,876.70x = 80,422,387.31
  5. Step 5: Solve for x
    x = 80,422,387.31/9,876.70
  6. Step 6: Final answer
    x = 8,142.64

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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.