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Finding the Fourth Proportional to 6,549.29, 9,823.96 and 3,430.22

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Solution

The fourth proportional to 6,549.29, 9,823.96 and 3,430.22 is: 5,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.29 : 9,823.96 = 3,430.22 : x
  2. Step 2: Convert to fraction form
    6,549.29/9,823.96 = 3,430.22/x
  3. Step 3: Cross multiply
    6,549.29x = 9,823.96 × 3,430.22
  4. Step 4: Simplify right side
    6,549.29x = 33,698,344.07
  5. Step 5: Solve for x
    x = 33,698,344.07/6,549.29
  6. Step 6: Final answer
    x = 5,145.34

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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.