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Finding the Fourth Proportional to 9,305.38, 12,840.96 and 5,325.58

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Solution

The fourth proportional to 9,305.38, 12,840.96 and 5,325.58 is: 7,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.38 : 12,840.96 = 5,325.58 : x
  2. Step 2: Convert to fraction form
    9,305.38/12,840.96 = 5,325.58/x
  3. Step 3: Cross multiply
    9,305.38x = 12,840.96 × 5,325.58
  4. Step 4: Simplify right side
    9,305.38x = 68,385,559.76
  5. Step 5: Solve for x
    x = 68,385,559.76/9,305.38
  6. Step 6: Final answer
    x = 7,349.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.