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Finding the Fourth Proportional to 9,703.65, 13,387.25 and 5,453.75

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Solution

The fourth proportional to 9,703.65, 13,387.25 and 5,453.75 is: 7,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.65 : 13,387.25 = 5,453.75 : x
  2. Step 2: Convert to fraction form
    9,703.65/13,387.25 = 5,453.75/x
  3. Step 3: Cross multiply
    9,703.65x = 13,387.25 × 5,453.75
  4. Step 4: Simplify right side
    9,703.65x = 73,010,657.03
  5. Step 5: Solve for x
    x = 73,010,657.03/9,703.65
  6. Step 6: Final answer
    x = 7,524.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.