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Finding the Fourth Proportional to 9,196.84, 13,776.54 and 8,430.54

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Solution

The fourth proportional to 9,196.84, 13,776.54 and 8,430.54 is: 12,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.84 : 13,776.54 = 8,430.54 : x
  2. Step 2: Convert to fraction form
    9,196.84/13,776.54 = 8,430.54/x
  3. Step 3: Cross multiply
    9,196.84x = 13,776.54 × 8,430.54
  4. Step 4: Simplify right side
    9,196.84x = 116,143,608.37
  5. Step 5: Solve for x
    x = 116,143,608.37/9,196.84
  6. Step 6: Final answer
    x = 12,628.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.