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Finding the Fourth Proportional to 9,316.86, 12,858.21 and 5,338.50

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Solution

The fourth proportional to 9,316.86, 12,858.21 and 5,338.50 is: 7,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.86 : 12,858.21 = 5,338.50 : x
  2. Step 2: Convert to fraction form
    9,316.86/12,858.21 = 5,338.50/x
  3. Step 3: Cross multiply
    9,316.86x = 12,858.21 × 5,338.50
  4. Step 4: Simplify right side
    9,316.86x = 68,643,554.09
  5. Step 5: Solve for x
    x = 68,643,554.09/9,316.86
  6. Step 6: Final answer
    x = 7,367.67

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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.