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Finding the Fourth Proportional to 9,165.35, 12,639.49 and 6,147.29

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Solution

The fourth proportional to 9,165.35, 12,639.49 and 6,147.29 is: 8,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.35 : 12,639.49 = 6,147.29 : x
  2. Step 2: Convert to fraction form
    9,165.35/12,639.49 = 6,147.29/x
  3. Step 3: Cross multiply
    9,165.35x = 12,639.49 × 6,147.29
  4. Step 4: Simplify right side
    9,165.35x = 77,698,661.29
  5. Step 5: Solve for x
    x = 77,698,661.29/9,165.35
  6. Step 6: Final answer
    x = 8,477.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.