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Finding the Fourth Proportional to 9,675.64, 13,351.19 and 5,897.44

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Solution

The fourth proportional to 9,675.64, 13,351.19 and 5,897.44 is: 8,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.64 : 13,351.19 = 5,897.44 : x
  2. Step 2: Convert to fraction form
    9,675.64/13,351.19 = 5,897.44/x
  3. Step 3: Cross multiply
    9,675.64x = 13,351.19 × 5,897.44
  4. Step 4: Simplify right side
    9,675.64x = 78,737,841.95
  5. Step 5: Solve for x
    x = 78,737,841.95/9,675.64
  6. Step 6: Final answer
    x = 8,137.74

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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.