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Finding the Fourth Proportional to 9,702.01, 13,388.25 and 5,723.29

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Solution

The fourth proportional to 9,702.01, 13,388.25 and 5,723.29 is: 7,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.01 : 13,388.25 = 5,723.29 : x
  2. Step 2: Convert to fraction form
    9,702.01/13,388.25 = 5,723.29/x
  3. Step 3: Cross multiply
    9,702.01x = 13,388.25 × 5,723.29
  4. Step 4: Simplify right side
    9,702.01x = 76,624,837.34
  5. Step 5: Solve for x
    x = 76,624,837.34/9,702.01
  6. Step 6: Final answer
    x = 7,897.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.