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Finding the Fourth Proportional to 9,365.99, 14,051.39 and 7,702.97

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Solution

The fourth proportional to 9,365.99, 14,051.39 and 7,702.97 is: 11,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.99 : 14,051.39 = 7,702.97 : x
  2. Step 2: Convert to fraction form
    9,365.99/14,051.39 = 7,702.97/x
  3. Step 3: Cross multiply
    9,365.99x = 14,051.39 × 7,702.97
  4. Step 4: Simplify right side
    9,365.99x = 108,237,326.86
  5. Step 5: Solve for x
    x = 108,237,326.86/9,365.99
  6. Step 6: Final answer
    x = 11,556.43

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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.