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Finding the Fourth Proportional to 9,750.56, 13,454.73 and 5,500.67

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Solution

The fourth proportional to 9,750.56, 13,454.73 and 5,500.67 is: 7,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.56 : 13,454.73 = 5,500.67 : x
  2. Step 2: Convert to fraction form
    9,750.56/13,454.73 = 5,500.67/x
  3. Step 3: Cross multiply
    9,750.56x = 13,454.73 × 5,500.67
  4. Step 4: Simplify right side
    9,750.56x = 74,010,029.67
  5. Step 5: Solve for x
    x = 74,010,029.67/9,750.56
  6. Step 6: Final answer
    x = 7,590.34

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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.