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Finding the Fourth Proportional to 9,783.92, 14,675.88 and 3,544.76

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Solution

The fourth proportional to 9,783.92, 14,675.88 and 3,544.76 is: 5,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.92 : 14,675.88 = 3,544.76 : x
  2. Step 2: Convert to fraction form
    9,783.92/14,675.88 = 3,544.76/x
  3. Step 3: Cross multiply
    9,783.92x = 14,675.88 × 3,544.76
  4. Step 4: Simplify right side
    9,783.92x = 52,022,472.39
  5. Step 5: Solve for x
    x = 52,022,472.39/9,783.92
  6. Step 6: Final answer
    x = 5,317.14

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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.