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Finding the Fourth Proportional to 9,698, 14,466.46 and 9,374.04

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Solution

The fourth proportional to 9,698, 14,466.46 and 9,374.04 is: 13,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 14,466.46 = 9,374.04 : x
  2. Step 2: Convert to fraction form
    9,698/14,466.46 = 9,374.04/x
  3. Step 3: Cross multiply
    9,698x = 14,466.46 × 9,374.04
  4. Step 4: Simplify right side
    9,698x = 135,609,174.70
  5. Step 5: Solve for x
    x = 135,609,174.70/9,698
  6. Step 6: Final answer
    x = 13,983.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.