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Finding the Fourth Proportional to 9,147.72, 13,711.23 and 4,207.16

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Solution

The fourth proportional to 9,147.72, 13,711.23 and 4,207.16 is: 6,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.72 : 13,711.23 = 4,207.16 : x
  2. Step 2: Convert to fraction form
    9,147.72/13,711.23 = 4,207.16/x
  3. Step 3: Cross multiply
    9,147.72x = 13,711.23 × 4,207.16
  4. Step 4: Simplify right side
    9,147.72x = 57,685,317.37
  5. Step 5: Solve for x
    x = 57,685,317.37/9,147.72
  6. Step 6: Final answer
    x = 6,305.98

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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.