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Finding the Fourth Proportional to 9,690.63, 14,544.24 and 3,851.34

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Solution

The fourth proportional to 9,690.63, 14,544.24 and 3,851.34 is: 5,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.63 : 14,544.24 = 3,851.34 : x
  2. Step 2: Convert to fraction form
    9,690.63/14,544.24 = 3,851.34/x
  3. Step 3: Cross multiply
    9,690.63x = 14,544.24 × 3,851.34
  4. Step 4: Simplify right side
    9,690.63x = 56,014,813.28
  5. Step 5: Solve for x
    x = 56,014,813.28/9,690.63
  6. Step 6: Final answer
    x = 5,780.31

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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.