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Finding the Fourth Proportional to 9,305.96, 12,841.48 and 5,326.16

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Solution

The fourth proportional to 9,305.96, 12,841.48 and 5,326.16 is: 7,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.96 : 12,841.48 = 5,326.16 : x
  2. Step 2: Convert to fraction form
    9,305.96/12,841.48 = 5,326.16/x
  3. Step 3: Cross multiply
    9,305.96x = 12,841.48 × 5,326.16
  4. Step 4: Simplify right side
    9,305.96x = 68,395,777.12
  5. Step 5: Solve for x
    x = 68,395,777.12/9,305.96
  6. Step 6: Final answer
    x = 7,349.67

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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.