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Finding the Fourth Proportional to 9,744.90, 14,608.80 and 5,786.40

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Solution

The fourth proportional to 9,744.90, 14,608.80 and 5,786.40 is: 8,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.90 : 14,608.80 = 5,786.40 : x
  2. Step 2: Convert to fraction form
    9,744.90/14,608.80 = 5,786.40/x
  3. Step 3: Cross multiply
    9,744.90x = 14,608.80 × 5,786.40
  4. Step 4: Simplify right side
    9,744.90x = 84,532,360.32
  5. Step 5: Solve for x
    x = 84,532,360.32/9,744.90
  6. Step 6: Final answer
    x = 8,674.52

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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.