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Finding the Fourth Proportional to 9,206.24, 12,704.64 and 5,480

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Solution

The fourth proportional to 9,206.24, 12,704.64 and 5,480 is: 7,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.24 : 12,704.64 = 5,480 : x
  2. Step 2: Convert to fraction form
    9,206.24/12,704.64 = 5,480/x
  3. Step 3: Cross multiply
    9,206.24x = 12,704.64 × 5,480
  4. Step 4: Simplify right side
    9,206.24x = 69,621,427.20
  5. Step 5: Solve for x
    x = 69,621,427.20/9,206.24
  6. Step 6: Final answer
    x = 7,562.42

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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.