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Finding the Fourth Proportional to 9,346.28, 12,892.16 and 5,566.91

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Solution

The fourth proportional to 9,346.28, 12,892.16 and 5,566.91 is: 7,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.28 : 12,892.16 = 5,566.91 : x
  2. Step 2: Convert to fraction form
    9,346.28/12,892.16 = 5,566.91/x
  3. Step 3: Cross multiply
    9,346.28x = 12,892.16 × 5,566.91
  4. Step 4: Simplify right side
    9,346.28x = 71,769,443.88
  5. Step 5: Solve for x
    x = 71,769,443.88/9,346.28
  6. Step 6: Final answer
    x = 7,678.94

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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.