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Finding the Fourth Proportional to 9,296.47, 13,947.74 and 3,746.96

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Solution

The fourth proportional to 9,296.47, 13,947.74 and 3,746.96 is: 5,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.47 : 13,947.74 = 3,746.96 : x
  2. Step 2: Convert to fraction form
    9,296.47/13,947.74 = 3,746.96/x
  3. Step 3: Cross multiply
    9,296.47x = 13,947.74 × 3,746.96
  4. Step 4: Simplify right side
    9,296.47x = 52,261,535.40
  5. Step 5: Solve for x
    x = 52,261,535.40/9,296.47
  6. Step 6: Final answer
    x = 5,621.66

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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.