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Finding the Fourth Proportional to 9,354.22, 14,033.64 and 2,780.38

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Solution

The fourth proportional to 9,354.22, 14,033.64 and 2,780.38 is: 4,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.22 : 14,033.64 = 2,780.38 : x
  2. Step 2: Convert to fraction form
    9,354.22/14,033.64 = 2,780.38/x
  3. Step 3: Cross multiply
    9,354.22x = 14,033.64 × 2,780.38
  4. Step 4: Simplify right side
    9,354.22x = 39,018,808.13
  5. Step 5: Solve for x
    x = 39,018,808.13/9,354.22
  6. Step 6: Final answer
    x = 4,171.25

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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.