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Finding the Fourth Proportional to 9,277.43, 13,910.94 and 4,009.15

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Solution

The fourth proportional to 9,277.43, 13,910.94 and 4,009.15 is: 6,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.43 : 13,910.94 = 4,009.15 : x
  2. Step 2: Convert to fraction form
    9,277.43/13,910.94 = 4,009.15/x
  3. Step 3: Cross multiply
    9,277.43x = 13,910.94 × 4,009.15
  4. Step 4: Simplify right side
    9,277.43x = 55,771,045.10
  5. Step 5: Solve for x
    x = 55,771,045.10/9,277.43
  6. Step 6: Final answer
    x = 6,011.48

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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.