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Finding the Fourth Proportional to 9,354.62, 14,032.70 and 2,780.82

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Solution

The fourth proportional to 9,354.62, 14,032.70 and 2,780.82 is: 4,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.62 : 14,032.70 = 2,780.82 : x
  2. Step 2: Convert to fraction form
    9,354.62/14,032.70 = 2,780.82/x
  3. Step 3: Cross multiply
    9,354.62x = 14,032.70 × 2,780.82
  4. Step 4: Simplify right side
    9,354.62x = 39,022,398.91
  5. Step 5: Solve for x
    x = 39,022,398.91/9,354.62
  6. Step 6: Final answer
    x = 4,171.46

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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.