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Finding the Fourth Proportional to 9,744.48, 14,612.16 and 4,197.60

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Solution

The fourth proportional to 9,744.48, 14,612.16 and 4,197.60 is: 6,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.48 : 14,612.16 = 4,197.60 : x
  2. Step 2: Convert to fraction form
    9,744.48/14,612.16 = 4,197.60/x
  3. Step 3: Cross multiply
    9,744.48x = 14,612.16 × 4,197.60
  4. Step 4: Simplify right side
    9,744.48x = 61,336,002.82
  5. Step 5: Solve for x
    x = 61,336,002.82/9,744.48
  6. Step 6: Final answer
    x = 6,294.44

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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.