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Finding the Fourth Proportional to 6,237.30, 9,355.95 and 3,314.10

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Solution

The fourth proportional to 6,237.30, 9,355.95 and 3,314.10 is: 4,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.30 : 9,355.95 = 3,314.10 : x
  2. Step 2: Convert to fraction form
    6,237.30/9,355.95 = 3,314.10/x
  3. Step 3: Cross multiply
    6,237.30x = 9,355.95 × 3,314.10
  4. Step 4: Simplify right side
    6,237.30x = 31,006,553.90
  5. Step 5: Solve for x
    x = 31,006,553.90/6,237.30
  6. Step 6: Final answer
    x = 4,971.15

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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.