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Finding the Fourth Proportional to 9,411.52, 14,118.90 and 5,027.80

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Solution

The fourth proportional to 9,411.52, 14,118.90 and 5,027.80 is: 7,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.52 : 14,118.90 = 5,027.80 : x
  2. Step 2: Convert to fraction form
    9,411.52/14,118.90 = 5,027.80/x
  3. Step 3: Cross multiply
    9,411.52x = 14,118.90 × 5,027.80
  4. Step 4: Simplify right side
    9,411.52x = 70,987,005.42
  5. Step 5: Solve for x
    x = 70,987,005.42/9,411.52
  6. Step 6: Final answer
    x = 7,542.57

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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.