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Finding the Fourth Proportional to 9,477.55, 13,078.43 and 5,228.67

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Solution

The fourth proportional to 9,477.55, 13,078.43 and 5,228.67 is: 7,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.55 : 13,078.43 = 5,228.67 : x
  2. Step 2: Convert to fraction form
    9,477.55/13,078.43 = 5,228.67/x
  3. Step 3: Cross multiply
    9,477.55x = 13,078.43 × 5,228.67
  4. Step 4: Simplify right side
    9,477.55x = 68,382,794.59
  5. Step 5: Solve for x
    x = 68,382,794.59/9,477.55
  6. Step 6: Final answer
    x = 7,215.24

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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.