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Finding the Fourth Proportional to 9,003.14, 13,506.06 and 3,158.72

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Solution

The fourth proportional to 9,003.14, 13,506.06 and 3,158.72 is: 4,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.14 : 13,506.06 = 3,158.72 : x
  2. Step 2: Convert to fraction form
    9,003.14/13,506.06 = 3,158.72/x
  3. Step 3: Cross multiply
    9,003.14x = 13,506.06 × 3,158.72
  4. Step 4: Simplify right side
    9,003.14x = 42,661,861.84
  5. Step 5: Solve for x
    x = 42,661,861.84/9,003.14
  6. Step 6: Final answer
    x = 4,738.55

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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.