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Finding the Fourth Proportional to 9,084.63, 13,620.66 and 4,633.66

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Solution

The fourth proportional to 9,084.63, 13,620.66 and 4,633.66 is: 6,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.63 : 13,620.66 = 4,633.66 : x
  2. Step 2: Convert to fraction form
    9,084.63/13,620.66 = 4,633.66/x
  3. Step 3: Cross multiply
    9,084.63x = 13,620.66 × 4,633.66
  4. Step 4: Simplify right side
    9,084.63x = 63,113,507.42
  5. Step 5: Solve for x
    x = 63,113,507.42/9,084.63
  6. Step 6: Final answer
    x = 6,947.28

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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.