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Finding the Fourth Proportional to 9,852.93, 13,596.71 and 5,871.98

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Solution

The fourth proportional to 9,852.93, 13,596.71 and 5,871.98 is: 8,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.93 : 13,596.71 = 5,871.98 : x
  2. Step 2: Convert to fraction form
    9,852.93/13,596.71 = 5,871.98/x
  3. Step 3: Cross multiply
    9,852.93x = 13,596.71 × 5,871.98
  4. Step 4: Simplify right side
    9,852.93x = 79,839,511.84
  5. Step 5: Solve for x
    x = 79,839,511.84/9,852.93
  6. Step 6: Final answer
    x = 8,103.12

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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.