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Finding the Fourth Proportional to 9,744.60, 14,616.84 and 2,349.06

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Solution

The fourth proportional to 9,744.60, 14,616.84 and 2,349.06 is: 3,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.60 : 14,616.84 = 2,349.06 : x
  2. Step 2: Convert to fraction form
    9,744.60/14,616.84 = 2,349.06/x
  3. Step 3: Cross multiply
    9,744.60x = 14,616.84 × 2,349.06
  4. Step 4: Simplify right side
    9,744.60x = 34,335,834.17
  5. Step 5: Solve for x
    x = 34,335,834.17/9,744.60
  6. Step 6: Final answer
    x = 3,523.58

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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.