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Finding the Fourth Proportional to 9,556.10, 14,334.16 and 4,007.96

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Solution

The fourth proportional to 9,556.10, 14,334.16 and 4,007.96 is: 6,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.10 : 14,334.16 = 4,007.96 : x
  2. Step 2: Convert to fraction form
    9,556.10/14,334.16 = 4,007.96/x
  3. Step 3: Cross multiply
    9,556.10x = 14,334.16 × 4,007.96
  4. Step 4: Simplify right side
    9,556.10x = 57,450,739.91
  5. Step 5: Solve for x
    x = 57,450,739.91/9,556.10
  6. Step 6: Final answer
    x = 6,011.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.