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Finding the Fourth Proportional to 8,905.34, 12,292.16 and 5,546.17

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Solution

The fourth proportional to 8,905.34, 12,292.16 and 5,546.17 is: 7,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.34 : 12,292.16 = 5,546.17 : x
  2. Step 2: Convert to fraction form
    8,905.34/12,292.16 = 5,546.17/x
  3. Step 3: Cross multiply
    8,905.34x = 12,292.16 × 5,546.17
  4. Step 4: Simplify right side
    8,905.34x = 68,174,396.66
  5. Step 5: Solve for x
    x = 68,174,396.66/8,905.34
  6. Step 6: Final answer
    x = 7,655.45

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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.