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Finding the Fourth Proportional to 9,636.17, 13,296.96 and 5,658.26

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Solution

The fourth proportional to 9,636.17, 13,296.96 and 5,658.26 is: 7,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.17 : 13,296.96 = 5,658.26 : x
  2. Step 2: Convert to fraction form
    9,636.17/13,296.96 = 5,658.26/x
  3. Step 3: Cross multiply
    9,636.17x = 13,296.96 × 5,658.26
  4. Step 4: Simplify right side
    9,636.17x = 75,237,590.40
  5. Step 5: Solve for x
    x = 75,237,590.40/9,636.17
  6. Step 6: Final answer
    x = 7,807.84

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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.