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Finding the Fourth Proportional to 9,453.61, 14,180.06 and 3,902.82

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Solution

The fourth proportional to 9,453.61, 14,180.06 and 3,902.82 is: 5,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.61 : 14,180.06 = 3,902.82 : x
  2. Step 2: Convert to fraction form
    9,453.61/14,180.06 = 3,902.82/x
  3. Step 3: Cross multiply
    9,453.61x = 14,180.06 × 3,902.82
  4. Step 4: Simplify right side
    9,453.61x = 55,342,178.35
  5. Step 5: Solve for x
    x = 55,342,178.35/9,453.61
  6. Step 6: Final answer
    x = 5,854.08

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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.