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Finding the Fourth Proportional to 6,460.09, 9,690.33 and 2,300.03

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Solution

The fourth proportional to 6,460.09, 9,690.33 and 2,300.03 is: 3,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.09 : 9,690.33 = 2,300.03 : x
  2. Step 2: Convert to fraction form
    6,460.09/9,690.33 = 2,300.03/x
  3. Step 3: Cross multiply
    6,460.09x = 9,690.33 × 2,300.03
  4. Step 4: Simplify right side
    6,460.09x = 22,288,046.22
  5. Step 5: Solve for x
    x = 22,288,046.22/6,460.09
  6. Step 6: Final answer
    x = 3,450.12

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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.