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Finding the Fourth Proportional to 9,838.66, 13,577.42 and 5,859.94

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Solution

The fourth proportional to 9,838.66, 13,577.42 and 5,859.94 is: 8,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.66 : 13,577.42 = 5,859.94 : x
  2. Step 2: Convert to fraction form
    9,838.66/13,577.42 = 5,859.94/x
  3. Step 3: Cross multiply
    9,838.66x = 13,577.42 × 5,859.94
  4. Step 4: Simplify right side
    9,838.66x = 79,562,866.55
  5. Step 5: Solve for x
    x = 79,562,866.55/9,838.66
  6. Step 6: Final answer
    x = 8,086.76

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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.