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Finding the Fourth Proportional to 8,920.74, 12,308.49 and 5,776.32

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Solution

The fourth proportional to 8,920.74, 12,308.49 and 5,776.32 is: 7,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.74 : 12,308.49 = 5,776.32 : x
  2. Step 2: Convert to fraction form
    8,920.74/12,308.49 = 5,776.32/x
  3. Step 3: Cross multiply
    8,920.74x = 12,308.49 × 5,776.32
  4. Step 4: Simplify right side
    8,920.74x = 71,097,776.96
  5. Step 5: Solve for x
    x = 71,097,776.96/8,920.74
  6. Step 6: Final answer
    x = 7,969.94

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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.