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Finding the Fourth Proportional to 9,456.70, 13,049.13 and 5,477.04

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Solution

The fourth proportional to 9,456.70, 13,049.13 and 5,477.04 is: 7,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.70 : 13,049.13 = 5,477.04 : x
  2. Step 2: Convert to fraction form
    9,456.70/13,049.13 = 5,477.04/x
  3. Step 3: Cross multiply
    9,456.70x = 13,049.13 × 5,477.04
  4. Step 4: Simplify right side
    9,456.70x = 71,470,606.98
  5. Step 5: Solve for x
    x = 71,470,606.98/9,456.70
  6. Step 6: Final answer
    x = 7,557.67

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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.