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Finding the Fourth Proportional to 9,152.40, 13,725.84 and 3,887.37

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Solution

The fourth proportional to 9,152.40, 13,725.84 and 3,887.37 is: 5,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.40 : 13,725.84 = 3,887.37 : x
  2. Step 2: Convert to fraction form
    9,152.40/13,725.84 = 3,887.37/x
  3. Step 3: Cross multiply
    9,152.40x = 13,725.84 × 3,887.37
  4. Step 4: Simplify right side
    9,152.40x = 53,357,418.64
  5. Step 5: Solve for x
    x = 53,357,418.64/9,152.40
  6. Step 6: Final answer
    x = 5,829.88

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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.