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Finding the Fourth Proportional to 9,751.00, 14,626.48 and 3,177.17

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Solution

The fourth proportional to 9,751.00, 14,626.48 and 3,177.17 is: 4,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.00 : 14,626.48 = 3,177.17 : x
  2. Step 2: Convert to fraction form
    9,751.00/14,626.48 = 3,177.17/x
  3. Step 3: Cross multiply
    9,751.00x = 14,626.48 × 3,177.17
  4. Step 4: Simplify right side
    9,751.00x = 46,470,813.46
  5. Step 5: Solve for x
    x = 46,470,813.46/9,751.00
  6. Step 6: Final answer
    x = 4,765.75

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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.