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Finding the Fourth Proportional to 6,924.12, 9,567.78 and 4,931.22

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Solution

The fourth proportional to 6,924.12, 9,567.78 and 4,931.22 is: 6,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.12 : 9,567.78 = 4,931.22 : x
  2. Step 2: Convert to fraction form
    6,924.12/9,567.78 = 4,931.22/x
  3. Step 3: Cross multiply
    6,924.12x = 9,567.78 × 4,931.22
  4. Step 4: Simplify right side
    6,924.12x = 47,180,778.62
  5. Step 5: Solve for x
    x = 47,180,778.62/6,924.12
  6. Step 6: Final answer
    x = 6,813.98

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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.