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Finding the Fourth Proportional to 9,567.51, 13,202.47 and 5,984.07

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Solution

The fourth proportional to 9,567.51, 13,202.47 and 5,984.07 is: 8,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.51 : 13,202.47 = 5,984.07 : x
  2. Step 2: Convert to fraction form
    9,567.51/13,202.47 = 5,984.07/x
  3. Step 3: Cross multiply
    9,567.51x = 13,202.47 × 5,984.07
  4. Step 4: Simplify right side
    9,567.51x = 79,004,504.65
  5. Step 5: Solve for x
    x = 79,004,504.65/9,567.51
  6. Step 6: Final answer
    x = 8,257.58

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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.