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Finding the Fourth Proportional to 6,966.54, 9,616.50 and 4,729.41

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Solution

The fourth proportional to 6,966.54, 9,616.50 and 4,729.41 is: 6,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.54 : 9,616.50 = 4,729.41 : x
  2. Step 2: Convert to fraction form
    6,966.54/9,616.50 = 4,729.41/x
  3. Step 3: Cross multiply
    6,966.54x = 9,616.50 × 4,729.41
  4. Step 4: Simplify right side
    6,966.54x = 45,480,371.27
  5. Step 5: Solve for x
    x = 45,480,371.27/6,966.54
  6. Step 6: Final answer
    x = 6,528.40

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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.