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Finding the Fourth Proportional to 9,672.44, 13,350.34 and 5,897.68

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Solution

The fourth proportional to 9,672.44, 13,350.34 and 5,897.68 is: 8,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.44 : 13,350.34 = 5,897.68 : x
  2. Step 2: Convert to fraction form
    9,672.44/13,350.34 = 5,897.68/x
  3. Step 3: Cross multiply
    9,672.44x = 13,350.34 × 5,897.68
  4. Step 4: Simplify right side
    9,672.44x = 78,736,030.35
  5. Step 5: Solve for x
    x = 78,736,030.35/9,672.44
  6. Step 6: Final answer
    x = 8,140.25

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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.