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Finding the Fourth Proportional to 6,438.72, 9,655.56 and 3,106.32

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Solution

The fourth proportional to 6,438.72, 9,655.56 and 3,106.32 is: 4,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.72 : 9,655.56 = 3,106.32 : x
  2. Step 2: Convert to fraction form
    6,438.72/9,655.56 = 3,106.32/x
  3. Step 3: Cross multiply
    6,438.72x = 9,655.56 × 3,106.32
  4. Step 4: Simplify right side
    6,438.72x = 29,993,259.14
  5. Step 5: Solve for x
    x = 29,993,259.14/6,438.72
  6. Step 6: Final answer
    x = 4,658.26

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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.