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Finding the Fourth Proportional to 9,788.69, 13,509.30 and 5,596.13

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Solution

The fourth proportional to 9,788.69, 13,509.30 and 5,596.13 is: 7,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.69 : 13,509.30 = 5,596.13 : x
  2. Step 2: Convert to fraction form
    9,788.69/13,509.30 = 5,596.13/x
  3. Step 3: Cross multiply
    9,788.69x = 13,509.30 × 5,596.13
  4. Step 4: Simplify right side
    9,788.69x = 75,599,799.01
  5. Step 5: Solve for x
    x = 75,599,799.01/9,788.69
  6. Step 6: Final answer
    x = 7,723.18

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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.