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Finding the Fourth Proportional to 9,302.09, 12,828.07 and 6,109.77

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Solution

The fourth proportional to 9,302.09, 12,828.07 and 6,109.77 is: 8,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.09 : 12,828.07 = 6,109.77 : x
  2. Step 2: Convert to fraction form
    9,302.09/12,828.07 = 6,109.77/x
  3. Step 3: Cross multiply
    9,302.09x = 12,828.07 × 6,109.77
  4. Step 4: Simplify right side
    9,302.09x = 78,376,557.24
  5. Step 5: Solve for x
    x = 78,376,557.24/9,302.09
  6. Step 6: Final answer
    x = 8,425.69

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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.