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Finding the Fourth Proportional to 9,772.20, 13,484.76 and 5,738.40

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Solution

The fourth proportional to 9,772.20, 13,484.76 and 5,738.40 is: 7,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.20 : 13,484.76 = 5,738.40 : x
  2. Step 2: Convert to fraction form
    9,772.20/13,484.76 = 5,738.40/x
  3. Step 3: Cross multiply
    9,772.20x = 13,484.76 × 5,738.40
  4. Step 4: Simplify right side
    9,772.20x = 77,380,946.78
  5. Step 5: Solve for x
    x = 77,380,946.78/9,772.20
  6. Step 6: Final answer
    x = 7,918.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.