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Finding the Fourth Proportional to 6,412.29, 9,615.06 and 2,899.23

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Solution

The fourth proportional to 6,412.29, 9,615.06 and 2,899.23 is: 4,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.29 : 9,615.06 = 2,899.23 : x
  2. Step 2: Convert to fraction form
    6,412.29/9,615.06 = 2,899.23/x
  3. Step 3: Cross multiply
    6,412.29x = 9,615.06 × 2,899.23
  4. Step 4: Simplify right side
    6,412.29x = 27,876,270.40
  5. Step 5: Solve for x
    x = 27,876,270.40/6,412.29
  6. Step 6: Final answer
    x = 4,347.32

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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.