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Finding the Fourth Proportional to 9,316.37, 12,857.50 and 6,954.41

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Solution

The fourth proportional to 9,316.37, 12,857.50 and 6,954.41 is: 9,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.37 : 12,857.50 = 6,954.41 : x
  2. Step 2: Convert to fraction form
    9,316.37/12,857.50 = 6,954.41/x
  3. Step 3: Cross multiply
    9,316.37x = 12,857.50 × 6,954.41
  4. Step 4: Simplify right side
    9,316.37x = 89,416,367.41
  5. Step 5: Solve for x
    x = 89,416,367.41/9,316.37
  6. Step 6: Final answer
    x = 9,597.77

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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.