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Finding the Fourth Proportional to 9,788.76, 13,508.26 and 5,596.76

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Solution

The fourth proportional to 9,788.76, 13,508.26 and 5,596.76 is: 7,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.76 : 13,508.26 = 5,596.76 : x
  2. Step 2: Convert to fraction form
    9,788.76/13,508.26 = 5,596.76/x
  3. Step 3: Cross multiply
    9,788.76x = 13,508.26 × 5,596.76
  4. Step 4: Simplify right side
    9,788.76x = 75,602,489.24
  5. Step 5: Solve for x
    x = 75,602,489.24/9,788.76
  6. Step 6: Final answer
    x = 7,723.40

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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.