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Finding the Fourth Proportional to 9,441.52, 14,164.50 and 9,284.80

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Solution

The fourth proportional to 9,441.52, 14,164.50 and 9,284.80 is: 13,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.52 : 14,164.50 = 9,284.80 : x
  2. Step 2: Convert to fraction form
    9,441.52/14,164.50 = 9,284.80/x
  3. Step 3: Cross multiply
    9,441.52x = 14,164.50 × 9,284.80
  4. Step 4: Simplify right side
    9,441.52x = 131,514,549.60
  5. Step 5: Solve for x
    x = 131,514,549.60/9,441.52
  6. Step 6: Final answer
    x = 13,929.38

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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.