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Finding the Fourth Proportional to 9,801.65, 14,702.31 and 2,406.18

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Solution

The fourth proportional to 9,801.65, 14,702.31 and 2,406.18 is: 3,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.65 : 14,702.31 = 2,406.18 : x
  2. Step 2: Convert to fraction form
    9,801.65/14,702.31 = 2,406.18/x
  3. Step 3: Cross multiply
    9,801.65x = 14,702.31 × 2,406.18
  4. Step 4: Simplify right side
    9,801.65x = 35,376,404.28
  5. Step 5: Solve for x
    x = 35,376,404.28/9,801.65
  6. Step 6: Final answer
    x = 3,609.23

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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.