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Finding the Fourth Proportional to 9,458.64, 14,182.56 and 2,882.88

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Solution

The fourth proportional to 9,458.64, 14,182.56 and 2,882.88 is: 4,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.64 : 14,182.56 = 2,882.88 : x
  2. Step 2: Convert to fraction form
    9,458.64/14,182.56 = 2,882.88/x
  3. Step 3: Cross multiply
    9,458.64x = 14,182.56 × 2,882.88
  4. Step 4: Simplify right side
    9,458.64x = 40,886,618.57
  5. Step 5: Solve for x
    x = 40,886,618.57/9,458.64
  6. Step 6: Final answer
    x = 4,322.67

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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.