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Finding the Fourth Proportional to 9,672.56, 13,350.50 and 5,897.80

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Solution

The fourth proportional to 9,672.56, 13,350.50 and 5,897.80 is: 8,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.56 : 13,350.50 = 5,897.80 : x
  2. Step 2: Convert to fraction form
    9,672.56/13,350.50 = 5,897.80/x
  3. Step 3: Cross multiply
    9,672.56x = 13,350.50 × 5,897.80
  4. Step 4: Simplify right side
    9,672.56x = 78,738,577.74
  5. Step 5: Solve for x
    x = 78,738,577.74/9,672.56
  6. Step 6: Final answer
    x = 8,140.41

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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.