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Finding the Fourth Proportional to 9,817.26, 14,702.13 and 5,913.06

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Solution

The fourth proportional to 9,817.26, 14,702.13 and 5,913.06 is: 8,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.26 : 14,702.13 = 5,913.06 : x
  2. Step 2: Convert to fraction form
    9,817.26/14,702.13 = 5,913.06/x
  3. Step 3: Cross multiply
    9,817.26x = 14,702.13 × 5,913.06
  4. Step 4: Simplify right side
    9,817.26x = 86,934,576.82
  5. Step 5: Solve for x
    x = 86,934,576.82/9,817.26
  6. Step 6: Final answer
    x = 8,855.28

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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.