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Finding the Fourth Proportional to 9,412.04, 14,103.34 and 3,565.48

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Solution

The fourth proportional to 9,412.04, 14,103.34 and 3,565.48 is: 5,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.04 : 14,103.34 = 3,565.48 : x
  2. Step 2: Convert to fraction form
    9,412.04/14,103.34 = 3,565.48/x
  3. Step 3: Cross multiply
    9,412.04x = 14,103.34 × 3,565.48
  4. Step 4: Simplify right side
    9,412.04x = 50,285,176.70
  5. Step 5: Solve for x
    x = 50,285,176.70/9,412.04
  6. Step 6: Final answer
    x = 5,342.64

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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.