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Finding the Fourth Proportional to 9,675.96, 14,515.37 and 3,435.45

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Solution

The fourth proportional to 9,675.96, 14,515.37 and 3,435.45 is: 5,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.96 : 14,515.37 = 3,435.45 : x
  2. Step 2: Convert to fraction form
    9,675.96/14,515.37 = 3,435.45/x
  3. Step 3: Cross multiply
    9,675.96x = 14,515.37 × 3,435.45
  4. Step 4: Simplify right side
    9,675.96x = 49,866,783.63
  5. Step 5: Solve for x
    x = 49,866,783.63/9,675.96
  6. Step 6: Final answer
    x = 5,153.68

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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.