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Finding the Fourth Proportional to 9,850.76, 13,586.34 and 6,314.32

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Solution

The fourth proportional to 9,850.76, 13,586.34 and 6,314.32 is: 8,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.76 : 13,586.34 = 6,314.32 : x
  2. Step 2: Convert to fraction form
    9,850.76/13,586.34 = 6,314.32/x
  3. Step 3: Cross multiply
    9,850.76x = 13,586.34 × 6,314.32
  4. Step 4: Simplify right side
    9,850.76x = 85,788,498.39
  5. Step 5: Solve for x
    x = 85,788,498.39/9,850.76
  6. Step 6: Final answer
    x = 8,708.82

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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.