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Finding the Fourth Proportional to 9,651.44, 13,319.16 and 5,460.56

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Solution

The fourth proportional to 9,651.44, 13,319.16 and 5,460.56 is: 7,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.44 : 13,319.16 = 5,460.56 : x
  2. Step 2: Convert to fraction form
    9,651.44/13,319.16 = 5,460.56/x
  3. Step 3: Cross multiply
    9,651.44x = 13,319.16 × 5,460.56
  4. Step 4: Simplify right side
    9,651.44x = 72,730,072.33
  5. Step 5: Solve for x
    x = 72,730,072.33/9,651.44
  6. Step 6: Final answer
    x = 7,535.67

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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.