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Finding the Fourth Proportional to 9,357.75, 14,037.44 and 2,432.25

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Solution

The fourth proportional to 9,357.75, 14,037.44 and 2,432.25 is: 3,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.75 : 14,037.44 = 2,432.25 : x
  2. Step 2: Convert to fraction form
    9,357.75/14,037.44 = 2,432.25/x
  3. Step 3: Cross multiply
    9,357.75x = 14,037.44 × 2,432.25
  4. Step 4: Simplify right side
    9,357.75x = 34,142,551.28
  5. Step 5: Solve for x
    x = 34,142,551.28/9,357.75
  6. Step 6: Final answer
    x = 3,648.59

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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.