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Finding the Fourth Proportional to 6,430.86, 9,643.91 and 2,213.26

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Solution

The fourth proportional to 6,430.86, 9,643.91 and 2,213.26 is: 3,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.86 : 9,643.91 = 2,213.26 : x
  2. Step 2: Convert to fraction form
    6,430.86/9,643.91 = 2,213.26/x
  3. Step 3: Cross multiply
    6,430.86x = 9,643.91 × 2,213.26
  4. Step 4: Simplify right side
    6,430.86x = 21,344,461.67
  5. Step 5: Solve for x
    x = 21,344,461.67/6,430.86
  6. Step 6: Final answer
    x = 3,319.07

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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.