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Finding the Fourth Proportional to 9,615.71, 13,269.07 and 5,367.40

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Solution

The fourth proportional to 9,615.71, 13,269.07 and 5,367.40 is: 7,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.71 : 13,269.07 = 5,367.40 : x
  2. Step 2: Convert to fraction form
    9,615.71/13,269.07 = 5,367.40/x
  3. Step 3: Cross multiply
    9,615.71x = 13,269.07 × 5,367.40
  4. Step 4: Simplify right side
    9,615.71x = 71,220,406.32
  5. Step 5: Solve for x
    x = 71,220,406.32/9,615.71
  6. Step 6: Final answer
    x = 7,406.67

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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.