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Finding the Fourth Proportional to 9,270.15, 12,790.53 and 5,494.21

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Solution

The fourth proportional to 9,270.15, 12,790.53 and 5,494.21 is: 7,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.15 : 12,790.53 = 5,494.21 : x
  2. Step 2: Convert to fraction form
    9,270.15/12,790.53 = 5,494.21/x
  3. Step 3: Cross multiply
    9,270.15x = 12,790.53 × 5,494.21
  4. Step 4: Simplify right side
    9,270.15x = 70,273,886.27
  5. Step 5: Solve for x
    x = 70,273,886.27/9,270.15
  6. Step 6: Final answer
    x = 7,580.67

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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.