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Finding the Fourth Proportional to 9,174.51, 13,751.25 and 4,171.50

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Solution

The fourth proportional to 9,174.51, 13,751.25 and 4,171.50 is: 6,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.51 : 13,751.25 = 4,171.50 : x
  2. Step 2: Convert to fraction form
    9,174.51/13,751.25 = 4,171.50/x
  3. Step 3: Cross multiply
    9,174.51x = 13,751.25 × 4,171.50
  4. Step 4: Simplify right side
    9,174.51x = 57,363,339.38
  5. Step 5: Solve for x
    x = 57,363,339.38/9,174.51
  6. Step 6: Final answer
    x = 6,252.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.