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Finding the Fourth Proportional to 9,145.12, 13,696.08 and 6,374.56

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Solution

The fourth proportional to 9,145.12, 13,696.08 and 6,374.56 is: 9,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.12 : 13,696.08 = 6,374.56 : x
  2. Step 2: Convert to fraction form
    9,145.12/13,696.08 = 6,374.56/x
  3. Step 3: Cross multiply
    9,145.12x = 13,696.08 × 6,374.56
  4. Step 4: Simplify right side
    9,145.12x = 87,306,483.72
  5. Step 5: Solve for x
    x = 87,306,483.72/9,145.12
  6. Step 6: Final answer
    x = 9,546.78

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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.