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Finding the Fourth Proportional to 9,855.41, 13,577.36 and 6,865.83

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Solution

The fourth proportional to 9,855.41, 13,577.36 and 6,865.83 is: 9,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.41 : 13,577.36 = 6,865.83 : x
  2. Step 2: Convert to fraction form
    9,855.41/13,577.36 = 6,865.83/x
  3. Step 3: Cross multiply
    9,855.41x = 13,577.36 × 6,865.83
  4. Step 4: Simplify right side
    9,855.41x = 93,219,811.28
  5. Step 5: Solve for x
    x = 93,219,811.28/9,855.41
  6. Step 6: Final answer
    x = 9,458.75

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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.