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Finding the Fourth Proportional to 9,563.04, 13,197.12 and 5,786.16

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Solution

The fourth proportional to 9,563.04, 13,197.12 and 5,786.16 is: 7,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.04 : 13,197.12 = 5,786.16 : x
  2. Step 2: Convert to fraction form
    9,563.04/13,197.12 = 5,786.16/x
  3. Step 3: Cross multiply
    9,563.04x = 13,197.12 × 5,786.16
  4. Step 4: Simplify right side
    9,563.04x = 76,360,647.86
  5. Step 5: Solve for x
    x = 76,360,647.86/9,563.04
  6. Step 6: Final answer
    x = 7,984.98

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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.