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Finding the Fourth Proportional to 9,708.08, 13,392.95 and 6,120.21

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Solution

The fourth proportional to 9,708.08, 13,392.95 and 6,120.21 is: 8,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.08 : 13,392.95 = 6,120.21 : x
  2. Step 2: Convert to fraction form
    9,708.08/13,392.95 = 6,120.21/x
  3. Step 3: Cross multiply
    9,708.08x = 13,392.95 × 6,120.21
  4. Step 4: Simplify right side
    9,708.08x = 81,967,610.81
  5. Step 5: Solve for x
    x = 81,967,610.81/9,708.08
  6. Step 6: Final answer
    x = 8,443.24

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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.