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Finding the Fourth Proportional to 9,628.24, 14,442.11 and 7,292.68

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Solution

The fourth proportional to 9,628.24, 14,442.11 and 7,292.68 is: 10,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.24 : 14,442.11 = 7,292.68 : x
  2. Step 2: Convert to fraction form
    9,628.24/14,442.11 = 7,292.68/x
  3. Step 3: Cross multiply
    9,628.24x = 14,442.11 × 7,292.68
  4. Step 4: Simplify right side
    9,628.24x = 105,321,686.75
  5. Step 5: Solve for x
    x = 105,321,686.75/9,628.24
  6. Step 6: Final answer
    x = 10,938.83

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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.