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Finding the Fourth Proportional to 9,760, 14,641.85 and 3,917.07

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Solution

The fourth proportional to 9,760, 14,641.85 and 3,917.07 is: 5,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760 : 14,641.85 = 3,917.07 : x
  2. Step 2: Convert to fraction form
    9,760/14,641.85 = 3,917.07/x
  3. Step 3: Cross multiply
    9,760x = 14,641.85 × 3,917.07
  4. Step 4: Simplify right side
    9,760x = 57,353,151.38
  5. Step 5: Solve for x
    x = 57,353,151.38/9,760
  6. Step 6: Final answer
    x = 5,876.35

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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.