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Finding the Fourth Proportional to 9,854.70, 14,782.16 and 3,280.88

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Solution

The fourth proportional to 9,854.70, 14,782.16 and 3,280.88 is: 4,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.70 : 14,782.16 = 3,280.88 : x
  2. Step 2: Convert to fraction form
    9,854.70/14,782.16 = 3,280.88/x
  3. Step 3: Cross multiply
    9,854.70x = 14,782.16 × 3,280.88
  4. Step 4: Simplify right side
    9,854.70x = 48,498,427.39
  5. Step 5: Solve for x
    x = 48,498,427.39/9,854.70
  6. Step 6: Final answer
    x = 4,921.35

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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.