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Finding the Fourth Proportional to 9,412.32, 14,123.08 and 3,867.34

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Solution

The fourth proportional to 9,412.32, 14,123.08 and 3,867.34 is: 5,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.32 : 14,123.08 = 3,867.34 : x
  2. Step 2: Convert to fraction form
    9,412.32/14,123.08 = 3,867.34/x
  3. Step 3: Cross multiply
    9,412.32x = 14,123.08 × 3,867.34
  4. Step 4: Simplify right side
    9,412.32x = 54,618,752.21
  5. Step 5: Solve for x
    x = 54,618,752.21/9,412.32
  6. Step 6: Final answer
    x = 5,802.90

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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.