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Finding the Fourth Proportional to 9,874.31, 14,813.80 and 2,948.63

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Solution

The fourth proportional to 9,874.31, 14,813.80 and 2,948.63 is: 4,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.31 : 14,813.80 = 2,948.63 : x
  2. Step 2: Convert to fraction form
    9,874.31/14,813.80 = 2,948.63/x
  3. Step 3: Cross multiply
    9,874.31x = 14,813.80 × 2,948.63
  4. Step 4: Simplify right side
    9,874.31x = 43,680,333.65
  5. Step 5: Solve for x
    x = 43,680,333.65/9,874.31
  6. Step 6: Final answer
    x = 4,423.64

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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.