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Finding the Fourth Proportional to 9,981.91, 13,776.32 and 8,300.43

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Solution

The fourth proportional to 9,981.91, 13,776.32 and 8,300.43 is: 11,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.91 : 13,776.32 = 8,300.43 : x
  2. Step 2: Convert to fraction form
    9,981.91/13,776.32 = 8,300.43/x
  3. Step 3: Cross multiply
    9,981.91x = 13,776.32 × 8,300.43
  4. Step 4: Simplify right side
    9,981.91x = 114,349,379.82
  5. Step 5: Solve for x
    x = 114,349,379.82/9,981.91
  6. Step 6: Final answer
    x = 11,455.66

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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.