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Finding the Fourth Proportional to 9,491.25, 14,208.84 and 7,009.59

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Solution

The fourth proportional to 9,491.25, 14,208.84 and 7,009.59 is: 10,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.25 : 14,208.84 = 7,009.59 : x
  2. Step 2: Convert to fraction form
    9,491.25/14,208.84 = 7,009.59/x
  3. Step 3: Cross multiply
    9,491.25x = 14,208.84 × 7,009.59
  4. Step 4: Simplify right side
    9,491.25x = 99,598,142.78
  5. Step 5: Solve for x
    x = 99,598,142.78/9,491.25
  6. Step 6: Final answer
    x = 10,493.68

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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.