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Finding the Fourth Proportional to 6,556.16, 9,808.64 and 4,176.16

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Solution

The fourth proportional to 6,556.16, 9,808.64 and 4,176.16 is: 6,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.16 : 9,808.64 = 4,176.16 : x
  2. Step 2: Convert to fraction form
    6,556.16/9,808.64 = 4,176.16/x
  3. Step 3: Cross multiply
    6,556.16x = 9,808.64 × 4,176.16
  4. Step 4: Simplify right side
    6,556.16x = 40,962,450.02
  5. Step 5: Solve for x
    x = 40,962,450.02/6,556.16
  6. Step 6: Final answer
    x = 6,247.93

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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.