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Finding the Fourth Proportional to 9,788.13, 13,507.61 and 5,596.38

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Solution

The fourth proportional to 9,788.13, 13,507.61 and 5,596.38 is: 7,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.13 : 13,507.61 = 5,596.38 : x
  2. Step 2: Convert to fraction form
    9,788.13/13,507.61 = 5,596.38/x
  3. Step 3: Cross multiply
    9,788.13x = 13,507.61 × 5,596.38
  4. Step 4: Simplify right side
    9,788.13x = 75,593,718.45
  5. Step 5: Solve for x
    x = 75,593,718.45/9,788.13
  6. Step 6: Final answer
    x = 7,723.00

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Why These Related Problems?

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