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Finding the Fourth Proportional to 9,807.44, 13,534.22 and 5,776.61

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Solution

The fourth proportional to 9,807.44, 13,534.22 and 5,776.61 is: 7,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.44 : 13,534.22 = 5,776.61 : x
  2. Step 2: Convert to fraction form
    9,807.44/13,534.22 = 5,776.61/x
  3. Step 3: Cross multiply
    9,807.44x = 13,534.22 × 5,776.61
  4. Step 4: Simplify right side
    9,807.44x = 78,181,857.36
  5. Step 5: Solve for x
    x = 78,181,857.36/9,807.44
  6. Step 6: Final answer
    x = 7,971.69

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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.