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Finding the Fourth Proportional to 9,568.30, 13,201.46 and 6,032.64

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Solution

The fourth proportional to 9,568.30, 13,201.46 and 6,032.64 is: 8,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.30 : 13,201.46 = 6,032.64 : x
  2. Step 2: Convert to fraction form
    9,568.30/13,201.46 = 6,032.64/x
  3. Step 3: Cross multiply
    9,568.30x = 13,201.46 × 6,032.64
  4. Step 4: Simplify right side
    9,568.30x = 79,639,655.65
  5. Step 5: Solve for x
    x = 79,639,655.65/9,568.30
  6. Step 6: Final answer
    x = 8,323.28

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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.