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Finding the Fourth Proportional to 9,723.79, 14,585.07 and 5,042.39

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Solution

The fourth proportional to 9,723.79, 14,585.07 and 5,042.39 is: 7,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.79 : 14,585.07 = 5,042.39 : x
  2. Step 2: Convert to fraction form
    9,723.79/14,585.07 = 5,042.39/x
  3. Step 3: Cross multiply
    9,723.79x = 14,585.07 × 5,042.39
  4. Step 4: Simplify right side
    9,723.79x = 73,543,611.12
  5. Step 5: Solve for x
    x = 73,543,611.12/9,723.79
  6. Step 6: Final answer
    x = 7,563.27

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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.