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Finding the Fourth Proportional to 9,208.72, 12,709.74 and 8,646.04

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Solution

The fourth proportional to 9,208.72, 12,709.74 and 8,646.04 is: 11,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.72 : 12,709.74 = 8,646.04 : x
  2. Step 2: Convert to fraction form
    9,208.72/12,709.74 = 8,646.04/x
  3. Step 3: Cross multiply
    9,208.72x = 12,709.74 × 8,646.04
  4. Step 4: Simplify right side
    9,208.72x = 109,888,920.43
  5. Step 5: Solve for x
    x = 109,888,920.43/9,208.72
  6. Step 6: Final answer
    x = 11,933.14

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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.