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Finding the Fourth Proportional to 9,569.21, 13,208.11 and 6,211.84

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Solution

The fourth proportional to 9,569.21, 13,208.11 and 6,211.84 is: 8,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.21 : 13,208.11 = 6,211.84 : x
  2. Step 2: Convert to fraction form
    9,569.21/13,208.11 = 6,211.84/x
  3. Step 3: Cross multiply
    9,569.21x = 13,208.11 × 6,211.84
  4. Step 4: Simplify right side
    9,569.21x = 82,046,677.18
  5. Step 5: Solve for x
    x = 82,046,677.18/9,569.21
  6. Step 6: Final answer
    x = 8,574.03

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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.