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Finding the Fourth Proportional to 9,923.91, 13,651.45 and 8,300.08

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Solution

The fourth proportional to 9,923.91, 13,651.45 and 8,300.08 is: 11,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.91 : 13,651.45 = 8,300.08 : x
  2. Step 2: Convert to fraction form
    9,923.91/13,651.45 = 8,300.08/x
  3. Step 3: Cross multiply
    9,923.91x = 13,651.45 × 8,300.08
  4. Step 4: Simplify right side
    9,923.91x = 113,308,127.12
  5. Step 5: Solve for x
    x = 113,308,127.12/9,923.91
  6. Step 6: Final answer
    x = 11,417.69

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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.