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Finding the Fourth Proportional to 9,275.30, 13,896.74 and 7,725.26

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Solution

The fourth proportional to 9,275.30, 13,896.74 and 7,725.26 is: 11,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.30 : 13,896.74 = 7,725.26 : x
  2. Step 2: Convert to fraction form
    9,275.30/13,896.74 = 7,725.26/x
  3. Step 3: Cross multiply
    9,275.30x = 13,896.74 × 7,725.26
  4. Step 4: Simplify right side
    9,275.30x = 107,355,929.65
  5. Step 5: Solve for x
    x = 107,355,929.65/9,275.30
  6. Step 6: Final answer
    x = 11,574.39

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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.