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Finding the Fourth Proportional to 9,854.82, 14,782.50 and 3,280.77

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Solution

The fourth proportional to 9,854.82, 14,782.50 and 3,280.77 is: 4,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.82 : 14,782.50 = 3,280.77 : x
  2. Step 2: Convert to fraction form
    9,854.82/14,782.50 = 3,280.77/x
  3. Step 3: Cross multiply
    9,854.82x = 14,782.50 × 3,280.77
  4. Step 4: Simplify right side
    9,854.82x = 48,497,982.53
  5. Step 5: Solve for x
    x = 48,497,982.53/9,854.82
  6. Step 6: Final answer
    x = 4,921.24

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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.