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Finding the Fourth Proportional to 9,686.69, 14,510.31 and 8,879.38

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Solution

The fourth proportional to 9,686.69, 14,510.31 and 8,879.38 is: 13,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.69 : 14,510.31 = 8,879.38 : x
  2. Step 2: Convert to fraction form
    9,686.69/14,510.31 = 8,879.38/x
  3. Step 3: Cross multiply
    9,686.69x = 14,510.31 × 8,879.38
  4. Step 4: Simplify right side
    9,686.69x = 128,842,556.41
  5. Step 5: Solve for x
    x = 128,842,556.41/9,686.69
  6. Step 6: Final answer
    x = 13,300.99

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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.