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Finding the Fourth Proportional to 9,556.16, 13,184.16 and 6,019.52

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Solution

The fourth proportional to 9,556.16, 13,184.16 and 6,019.52 is: 8,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.16 : 13,184.16 = 6,019.52 : x
  2. Step 2: Convert to fraction form
    9,556.16/13,184.16 = 6,019.52/x
  3. Step 3: Cross multiply
    9,556.16x = 13,184.16 × 6,019.52
  4. Step 4: Simplify right side
    9,556.16x = 79,362,314.80
  5. Step 5: Solve for x
    x = 79,362,314.80/9,556.16
  6. Step 6: Final answer
    x = 8,304.83

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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.