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Finding the Fourth Proportional to 9,615.75, 14,429.70 and 7,428.75

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Solution

The fourth proportional to 9,615.75, 14,429.70 and 7,428.75 is: 11,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.75 : 14,429.70 = 7,428.75 : x
  2. Step 2: Convert to fraction form
    9,615.75/14,429.70 = 7,428.75/x
  3. Step 3: Cross multiply
    9,615.75x = 14,429.70 × 7,428.75
  4. Step 4: Simplify right side
    9,615.75x = 107,194,633.88
  5. Step 5: Solve for x
    x = 107,194,633.88/9,615.75
  6. Step 6: Final answer
    x = 11,147.82

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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.