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Finding the Fourth Proportional to 9,775.42, 13,486.93 and 5,996.77

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Solution

The fourth proportional to 9,775.42, 13,486.93 and 5,996.77 is: 8,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.42 : 13,486.93 = 5,996.77 : x
  2. Step 2: Convert to fraction form
    9,775.42/13,486.93 = 5,996.77/x
  3. Step 3: Cross multiply
    9,775.42x = 13,486.93 × 5,996.77
  4. Step 4: Simplify right side
    9,775.42x = 80,878,017.22
  5. Step 5: Solve for x
    x = 80,878,017.22/9,775.42
  6. Step 6: Final answer
    x = 8,273.61

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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.