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Finding the Fourth Proportional to 9,452.05, 14,170.34 and 5,235.17

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Solution

The fourth proportional to 9,452.05, 14,170.34 and 5,235.17 is: 7,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.05 : 14,170.34 = 5,235.17 : x
  2. Step 2: Convert to fraction form
    9,452.05/14,170.34 = 5,235.17/x
  3. Step 3: Cross multiply
    9,452.05x = 14,170.34 × 5,235.17
  4. Step 4: Simplify right side
    9,452.05x = 74,184,081.09
  5. Step 5: Solve for x
    x = 74,184,081.09/9,452.05
  6. Step 6: Final answer
    x = 7,848.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.