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Finding the Fourth Proportional to 8,914.64, 12,302.20 and 5,776.28

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Solution

The fourth proportional to 8,914.64, 12,302.20 and 5,776.28 is: 7,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.64 : 12,302.20 = 5,776.28 : x
  2. Step 2: Convert to fraction form
    8,914.64/12,302.20 = 5,776.28/x
  3. Step 3: Cross multiply
    8,914.64x = 12,302.20 × 5,776.28
  4. Step 4: Simplify right side
    8,914.64x = 71,060,951.82
  5. Step 5: Solve for x
    x = 71,060,951.82/8,914.64
  6. Step 6: Final answer
    x = 7,971.26

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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.