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Finding the Fourth Proportional to 9,878.70, 14,813.73 and 2,951.58

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Solution

The fourth proportional to 9,878.70, 14,813.73 and 2,951.58 is: 4,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.70 : 14,813.73 = 2,951.58 : x
  2. Step 2: Convert to fraction form
    9,878.70/14,813.73 = 2,951.58/x
  3. Step 3: Cross multiply
    9,878.70x = 14,813.73 × 2,951.58
  4. Step 4: Simplify right side
    9,878.70x = 43,723,909.19
  5. Step 5: Solve for x
    x = 43,723,909.19/9,878.70
  6. Step 6: Final answer
    x = 4,426.08

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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.