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Finding the Fourth Proportional to 9,947.93, 13,730.36 and 7,790.19

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Solution

The fourth proportional to 9,947.93, 13,730.36 and 7,790.19 is: 10,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.93 : 13,730.36 = 7,790.19 : x
  2. Step 2: Convert to fraction form
    9,947.93/13,730.36 = 7,790.19/x
  3. Step 3: Cross multiply
    9,947.93x = 13,730.36 × 7,790.19
  4. Step 4: Simplify right side
    9,947.93x = 106,962,074.22
  5. Step 5: Solve for x
    x = 106,962,074.22/9,947.93
  6. Step 6: Final answer
    x = 10,752.20

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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.