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Finding the Fourth Proportional to 9,837.37, 14,758.08 and 5,445.60

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Solution

The fourth proportional to 9,837.37, 14,758.08 and 5,445.60 is: 8,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.37 : 14,758.08 = 5,445.60 : x
  2. Step 2: Convert to fraction form
    9,837.37/14,758.08 = 5,445.60/x
  3. Step 3: Cross multiply
    9,837.37x = 14,758.08 × 5,445.60
  4. Step 4: Simplify right side
    9,837.37x = 80,366,600.45
  5. Step 5: Solve for x
    x = 80,366,600.45/9,837.37
  6. Step 6: Final answer
    x = 8,169.52

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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.