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Finding the Fourth Proportional to 9,458.56, 14,174.56 and 7,475.47

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Solution

The fourth proportional to 9,458.56, 14,174.56 and 7,475.47 is: 11,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.56 : 14,174.56 = 7,475.47 : x
  2. Step 2: Convert to fraction form
    9,458.56/14,174.56 = 7,475.47/x
  3. Step 3: Cross multiply
    9,458.56x = 14,174.56 × 7,475.47
  4. Step 4: Simplify right side
    9,458.56x = 105,961,498.04
  5. Step 5: Solve for x
    x = 105,961,498.04/9,458.56
  6. Step 6: Final answer
    x = 11,202.71

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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.