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Finding the Fourth Proportional to 6,346.95, 9,524.65 and 2,835.79

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Solution

The fourth proportional to 6,346.95, 9,524.65 and 2,835.79 is: 4,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.95 : 9,524.65 = 2,835.79 : x
  2. Step 2: Convert to fraction form
    6,346.95/9,524.65 = 2,835.79/x
  3. Step 3: Cross multiply
    6,346.95x = 9,524.65 × 2,835.79
  4. Step 4: Simplify right side
    6,346.95x = 27,009,907.22
  5. Step 5: Solve for x
    x = 27,009,907.22/6,346.95
  6. Step 6: Final answer
    x = 4,255.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.