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Finding the Fourth Proportional to 9,280.52, 13,896.15 and 7,259.06

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Solution

The fourth proportional to 9,280.52, 13,896.15 and 7,259.06 is: 10,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.52 : 13,896.15 = 7,259.06 : x
  2. Step 2: Convert to fraction form
    9,280.52/13,896.15 = 7,259.06/x
  3. Step 3: Cross multiply
    9,280.52x = 13,896.15 × 7,259.06
  4. Step 4: Simplify right side
    9,280.52x = 100,872,986.62
  5. Step 5: Solve for x
    x = 100,872,986.62/9,280.52
  6. Step 6: Final answer
    x = 10,869.32

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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.