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Finding the Fourth Proportional to 9,370.96, 14,054.28 and 4,174

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Solution

The fourth proportional to 9,370.96, 14,054.28 and 4,174 is: 6,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.96 : 14,054.28 = 4,174 : x
  2. Step 2: Convert to fraction form
    9,370.96/14,054.28 = 4,174/x
  3. Step 3: Cross multiply
    9,370.96x = 14,054.28 × 4,174
  4. Step 4: Simplify right side
    9,370.96x = 58,662,564.72
  5. Step 5: Solve for x
    x = 58,662,564.72/9,370.96
  6. Step 6: Final answer
    x = 6,260.04

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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.