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Finding the Fourth Proportional to 9,951.85, 13,735.51 and 5,705.76

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Solution

The fourth proportional to 9,951.85, 13,735.51 and 5,705.76 is: 7,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.85 : 13,735.51 = 5,705.76 : x
  2. Step 2: Convert to fraction form
    9,951.85/13,735.51 = 5,705.76/x
  3. Step 3: Cross multiply
    9,951.85x = 13,735.51 × 5,705.76
  4. Step 4: Simplify right side
    9,951.85x = 78,371,523.54
  5. Step 5: Solve for x
    x = 78,371,523.54/9,951.85
  6. Step 6: Final answer
    x = 7,875.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.