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Finding the Fourth Proportional to 9,785.46, 14,680.35 and 2,860.50

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Solution

The fourth proportional to 9,785.46, 14,680.35 and 2,860.50 is: 4,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.46 : 14,680.35 = 2,860.50 : x
  2. Step 2: Convert to fraction form
    9,785.46/14,680.35 = 2,860.50/x
  3. Step 3: Cross multiply
    9,785.46x = 14,680.35 × 2,860.50
  4. Step 4: Simplify right side
    9,785.46x = 41,993,141.18
  5. Step 5: Solve for x
    x = 41,993,141.18/9,785.46
  6. Step 6: Final answer
    x = 4,291.38

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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.