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Finding the Fourth Proportional to 9,426.33, 14,138.06 and 3,582.90

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Solution

The fourth proportional to 9,426.33, 14,138.06 and 3,582.90 is: 5,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.33 : 14,138.06 = 3,582.90 : x
  2. Step 2: Convert to fraction form
    9,426.33/14,138.06 = 3,582.90/x
  3. Step 3: Cross multiply
    9,426.33x = 14,138.06 × 3,582.90
  4. Step 4: Simplify right side
    9,426.33x = 50,655,237.26
  5. Step 5: Solve for x
    x = 50,655,237.26/9,426.33
  6. Step 6: Final answer
    x = 5,373.80

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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.