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Finding the Fourth Proportional to 7,920.54, 11,892.96 and 6,445.62

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Solution

The fourth proportional to 7,920.54, 11,892.96 and 6,445.62 is: 9,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.54 : 11,892.96 = 6,445.62 : x
  2. Step 2: Convert to fraction form
    7,920.54/11,892.96 = 6,445.62/x
  3. Step 3: Cross multiply
    7,920.54x = 11,892.96 × 6,445.62
  4. Step 4: Simplify right side
    7,920.54x = 76,657,500.84
  5. Step 5: Solve for x
    x = 76,657,500.84/7,920.54
  6. Step 6: Final answer
    x = 9,678.32

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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.