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Finding the Fourth Proportional to 9,594.74, 14,394.08 and 4,048.09

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Solution

The fourth proportional to 9,594.74, 14,394.08 and 4,048.09 is: 6,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.74 : 14,394.08 = 4,048.09 : x
  2. Step 2: Convert to fraction form
    9,594.74/14,394.08 = 4,048.09/x
  3. Step 3: Cross multiply
    9,594.74x = 14,394.08 × 4,048.09
  4. Step 4: Simplify right side
    9,594.74x = 58,268,439.10
  5. Step 5: Solve for x
    x = 58,268,439.10/9,594.74
  6. Step 6: Final answer
    x = 6,072.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.