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Finding the Fourth Proportional to 9,784.75, 13,502.96 and 5,593.09

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Solution

The fourth proportional to 9,784.75, 13,502.96 and 5,593.09 is: 7,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.75 : 13,502.96 = 5,593.09 : x
  2. Step 2: Convert to fraction form
    9,784.75/13,502.96 = 5,593.09/x
  3. Step 3: Cross multiply
    9,784.75x = 13,502.96 × 5,593.09
  4. Step 4: Simplify right side
    9,784.75x = 75,523,270.55
  5. Step 5: Solve for x
    x = 75,523,270.55/9,784.75
  6. Step 6: Final answer
    x = 7,718.47

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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.