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Finding the Fourth Proportional to 6,592.14, 9,889.42 and 5,370.25

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Solution

The fourth proportional to 6,592.14, 9,889.42 and 5,370.25 is: 8,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.14 : 9,889.42 = 5,370.25 : x
  2. Step 2: Convert to fraction form
    6,592.14/9,889.42 = 5,370.25/x
  3. Step 3: Cross multiply
    6,592.14x = 9,889.42 × 5,370.25
  4. Step 4: Simplify right side
    6,592.14x = 53,108,657.76
  5. Step 5: Solve for x
    x = 53,108,657.76/6,592.14
  6. Step 6: Final answer
    x = 8,056.37

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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.