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Finding the Fourth Proportional to 9,783.10, 14,674.65 and 7,450.30

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Solution

The fourth proportional to 9,783.10, 14,674.65 and 7,450.30 is: 11,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.10 : 14,674.65 = 7,450.30 : x
  2. Step 2: Convert to fraction form
    9,783.10/14,674.65 = 7,450.30/x
  3. Step 3: Cross multiply
    9,783.10x = 14,674.65 × 7,450.30
  4. Step 4: Simplify right side
    9,783.10x = 109,330,544.90
  5. Step 5: Solve for x
    x = 109,330,544.90/9,783.10
  6. Step 6: Final answer
    x = 11,175.45

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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.