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Finding the Fourth Proportional to 9,612.33, 13,258.04 and 6,024.43

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Solution

The fourth proportional to 9,612.33, 13,258.04 and 6,024.43 is: 8,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.33 : 13,258.04 = 6,024.43 : x
  2. Step 2: Convert to fraction form
    9,612.33/13,258.04 = 6,024.43/x
  3. Step 3: Cross multiply
    9,612.33x = 13,258.04 × 6,024.43
  4. Step 4: Simplify right side
    9,612.33x = 79,872,133.92
  5. Step 5: Solve for x
    x = 79,872,133.92/9,612.33
  6. Step 6: Final answer
    x = 8,309.34

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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.