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Finding the Fourth Proportional to 9,156.96, 12,645 and 8,665.92

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Solution

The fourth proportional to 9,156.96, 12,645 and 8,665.92 is: 11,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.96 : 12,645 = 8,665.92 : x
  2. Step 2: Convert to fraction form
    9,156.96/12,645 = 8,665.92/x
  3. Step 3: Cross multiply
    9,156.96x = 12,645 × 8,665.92
  4. Step 4: Simplify right side
    9,156.96x = 109,580,558.40
  5. Step 5: Solve for x
    x = 109,580,558.40/9,156.96
  6. Step 6: Final answer
    x = 11,966.91

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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.