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Finding the Fourth Proportional to 9,280.07, 13,901.25 and 7,409.12

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Solution

The fourth proportional to 9,280.07, 13,901.25 and 7,409.12 is: 11,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.07 : 13,901.25 = 7,409.12 : x
  2. Step 2: Convert to fraction form
    9,280.07/13,901.25 = 7,409.12/x
  3. Step 3: Cross multiply
    9,280.07x = 13,901.25 × 7,409.12
  4. Step 4: Simplify right side
    9,280.07x = 102,996,065.87
  5. Step 5: Solve for x
    x = 102,996,065.87/9,280.07
  6. Step 6: Final answer
    x = 11,098.63

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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.