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Finding the Fourth Proportional to 9,336.96, 12,886.56 and 5,798.88

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Solution

The fourth proportional to 9,336.96, 12,886.56 and 5,798.88 is: 8,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.96 : 12,886.56 = 5,798.88 : x
  2. Step 2: Convert to fraction form
    9,336.96/12,886.56 = 5,798.88/x
  3. Step 3: Cross multiply
    9,336.96x = 12,886.56 × 5,798.88
  4. Step 4: Simplify right side
    9,336.96x = 74,727,615.05
  5. Step 5: Solve for x
    x = 74,727,615.05/9,336.96
  6. Step 6: Final answer
    x = 8,003.42

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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.