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Finding the Fourth Proportional to 6,359.37, 9,539.70 and 2,357.84

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Solution

The fourth proportional to 6,359.37, 9,539.70 and 2,357.84 is: 3,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.37 : 9,539.70 = 2,357.84 : x
  2. Step 2: Convert to fraction form
    6,359.37/9,539.70 = 2,357.84/x
  3. Step 3: Cross multiply
    6,359.37x = 9,539.70 × 2,357.84
  4. Step 4: Simplify right side
    6,359.37x = 22,493,038.55
  5. Step 5: Solve for x
    x = 22,493,038.55/6,359.37
  6. Step 6: Final answer
    x = 3,536.99

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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.