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Finding the Fourth Proportional to 9,029.49, 13,546.28 and 4,869.41

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Solution

The fourth proportional to 9,029.49, 13,546.28 and 4,869.41 is: 7,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.49 : 13,546.28 = 4,869.41 : x
  2. Step 2: Convert to fraction form
    9,029.49/13,546.28 = 4,869.41/x
  3. Step 3: Cross multiply
    9,029.49x = 13,546.28 × 4,869.41
  4. Step 4: Simplify right side
    9,029.49x = 65,962,391.29
  5. Step 5: Solve for x
    x = 65,962,391.29/9,029.49
  6. Step 6: Final answer
    x = 7,305.22

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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.