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Finding the Fourth Proportional to 9,477.30, 13,078.49 and 5,228.76

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Solution

The fourth proportional to 9,477.30, 13,078.49 and 5,228.76 is: 7,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.30 : 13,078.49 = 5,228.76 : x
  2. Step 2: Convert to fraction form
    9,477.30/13,078.49 = 5,228.76/x
  3. Step 3: Cross multiply
    9,477.30x = 13,078.49 × 5,228.76
  4. Step 4: Simplify right side
    9,477.30x = 68,384,285.37
  5. Step 5: Solve for x
    x = 68,384,285.37/9,477.30
  6. Step 6: Final answer
    x = 7,215.59

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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.