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Finding the Fourth Proportional to 9,212.84, 12,713.94 and 5,436.94

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Solution

The fourth proportional to 9,212.84, 12,713.94 and 5,436.94 is: 7,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.84 : 12,713.94 = 5,436.94 : x
  2. Step 2: Convert to fraction form
    9,212.84/12,713.94 = 5,436.94/x
  3. Step 3: Cross multiply
    9,212.84x = 12,713.94 × 5,436.94
  4. Step 4: Simplify right side
    9,212.84x = 69,124,928.94
  5. Step 5: Solve for x
    x = 69,124,928.94/9,212.84
  6. Step 6: Final answer
    x = 7,503.11

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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.