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Finding the Fourth Proportional to 9,885.54, 14,830.47 and 2,959.50

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Solution

The fourth proportional to 9,885.54, 14,830.47 and 2,959.50 is: 4,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.54 : 14,830.47 = 2,959.50 : x
  2. Step 2: Convert to fraction form
    9,885.54/14,830.47 = 2,959.50/x
  3. Step 3: Cross multiply
    9,885.54x = 14,830.47 × 2,959.50
  4. Step 4: Simplify right side
    9,885.54x = 43,890,775.97
  5. Step 5: Solve for x
    x = 43,890,775.97/9,885.54
  6. Step 6: Final answer
    x = 4,439.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.