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Finding the Fourth Proportional to 6,746.63, 9,316.05 and 4,232.96

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Solution

The fourth proportional to 6,746.63, 9,316.05 and 4,232.96 is: 5,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.63 : 9,316.05 = 4,232.96 : x
  2. Step 2: Convert to fraction form
    6,746.63/9,316.05 = 4,232.96/x
  3. Step 3: Cross multiply
    6,746.63x = 9,316.05 × 4,232.96
  4. Step 4: Simplify right side
    6,746.63x = 39,434,439.49
  5. Step 5: Solve for x
    x = 39,434,439.49/6,746.63
  6. Step 6: Final answer
    x = 5,845.06

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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.