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Finding the Fourth Proportional to 6,257.70, 9,384.03 and 2,359.98

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Solution

The fourth proportional to 6,257.70, 9,384.03 and 2,359.98 is: 3,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.70 : 9,384.03 = 2,359.98 : x
  2. Step 2: Convert to fraction form
    6,257.70/9,384.03 = 2,359.98/x
  3. Step 3: Cross multiply
    6,257.70x = 9,384.03 × 2,359.98
  4. Step 4: Simplify right side
    6,257.70x = 22,146,123.12
  5. Step 5: Solve for x
    x = 22,146,123.12/6,257.70
  6. Step 6: Final answer
    x = 3,539.02

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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.