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Finding the Fourth Proportional to 6,300.07, 9,450.11 and 2,140.09

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Solution

The fourth proportional to 6,300.07, 9,450.11 and 2,140.09 is: 3,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.07 : 9,450.11 = 2,140.09 : x
  2. Step 2: Convert to fraction form
    6,300.07/9,450.11 = 2,140.09/x
  3. Step 3: Cross multiply
    6,300.07x = 9,450.11 × 2,140.09
  4. Step 4: Simplify right side
    6,300.07x = 20,224,085.91
  5. Step 5: Solve for x
    x = 20,224,085.91/6,300.07
  6. Step 6: Final answer
    x = 3,210.14

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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.