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Finding the Fourth Proportional to 9,209.88, 13,816.71 and 2,970.72

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Solution

The fourth proportional to 9,209.88, 13,816.71 and 2,970.72 is: 4,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.88 : 13,816.71 = 2,970.72 : x
  2. Step 2: Convert to fraction form
    9,209.88/13,816.71 = 2,970.72/x
  3. Step 3: Cross multiply
    9,209.88x = 13,816.71 × 2,970.72
  4. Step 4: Simplify right side
    9,209.88x = 41,045,576.73
  5. Step 5: Solve for x
    x = 41,045,576.73/9,209.88
  6. Step 6: Final answer
    x = 4,456.69

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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.