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Finding the Fourth Proportional to 9,854.33, 14,783.85 and 3,280.57

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Solution

The fourth proportional to 9,854.33, 14,783.85 and 3,280.57 is: 4,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.33 : 14,783.85 = 3,280.57 : x
  2. Step 2: Convert to fraction form
    9,854.33/14,783.85 = 3,280.57/x
  3. Step 3: Cross multiply
    9,854.33x = 14,783.85 × 3,280.57
  4. Step 4: Simplify right side
    9,854.33x = 48,499,417.83
  5. Step 5: Solve for x
    x = 48,499,417.83/9,854.33
  6. Step 6: Final answer
    x = 4,921.64

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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.