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Finding the Fourth Proportional to 6,470.12, 9,707.22 and 2,310.03

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Solution

The fourth proportional to 6,470.12, 9,707.22 and 2,310.03 is: 3,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.12 : 9,707.22 = 2,310.03 : x
  2. Step 2: Convert to fraction form
    6,470.12/9,707.22 = 2,310.03/x
  3. Step 3: Cross multiply
    6,470.12x = 9,707.22 × 2,310.03
  4. Step 4: Simplify right side
    6,470.12x = 22,424,005.82
  5. Step 5: Solve for x
    x = 22,424,005.82/6,470.12
  6. Step 6: Final answer
    x = 3,465.78

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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.