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Finding the Fourth Proportional to 9,208.64, 12,705.96 and 6,026.60

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Solution

The fourth proportional to 9,208.64, 12,705.96 and 6,026.60 is: 8,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.64 : 12,705.96 = 6,026.60 : x
  2. Step 2: Convert to fraction form
    9,208.64/12,705.96 = 6,026.60/x
  3. Step 3: Cross multiply
    9,208.64x = 12,705.96 × 6,026.60
  4. Step 4: Simplify right side
    9,208.64x = 76,573,738.54
  5. Step 5: Solve for x
    x = 76,573,738.54/9,208.64
  6. Step 6: Final answer
    x = 8,315.42

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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.