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Finding the Fourth Proportional to 9,563.65, 13,197.80 and 5,314.69

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Solution

The fourth proportional to 9,563.65, 13,197.80 and 5,314.69 is: 7,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.65 : 13,197.80 = 5,314.69 : x
  2. Step 2: Convert to fraction form
    9,563.65/13,197.80 = 5,314.69/x
  3. Step 3: Cross multiply
    9,563.65x = 13,197.80 × 5,314.69
  4. Step 4: Simplify right side
    9,563.65x = 70,142,215.68
  5. Step 5: Solve for x
    x = 70,142,215.68/9,563.65
  6. Step 6: Final answer
    x = 7,334.25

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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.