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Finding the Fourth Proportional to 9,326.66, 12,866.74 and 5,346.86

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Solution

The fourth proportional to 9,326.66, 12,866.74 and 5,346.86 is: 7,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.66 : 12,866.74 = 5,346.86 : x
  2. Step 2: Convert to fraction form
    9,326.66/12,866.74 = 5,346.86/x
  3. Step 3: Cross multiply
    9,326.66x = 12,866.74 × 5,346.86
  4. Step 4: Simplify right side
    9,326.66x = 68,796,579.74
  5. Step 5: Solve for x
    x = 68,796,579.74/9,326.66
  6. Step 6: Final answer
    x = 7,376.34

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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.