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Finding the Fourth Proportional to 9,425.30, 14,128.65 and 5,267.30

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Solution

The fourth proportional to 9,425.30, 14,128.65 and 5,267.30 is: 7,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.30 : 14,128.65 = 5,267.30 : x
  2. Step 2: Convert to fraction form
    9,425.30/14,128.65 = 5,267.30/x
  3. Step 3: Cross multiply
    9,425.30x = 14,128.65 × 5,267.30
  4. Step 4: Simplify right side
    9,425.30x = 74,419,838.15
  5. Step 5: Solve for x
    x = 74,419,838.15/9,425.30
  6. Step 6: Final answer
    x = 7,895.75

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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.