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Finding the Fourth Proportional to 9,788.50, 13,508.94 and 5,597.56

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Solution

The fourth proportional to 9,788.50, 13,508.94 and 5,597.56 is: 7,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.50 : 13,508.94 = 5,597.56 : x
  2. Step 2: Convert to fraction form
    9,788.50/13,508.94 = 5,597.56/x
  3. Step 3: Cross multiply
    9,788.50x = 13,508.94 × 5,597.56
  4. Step 4: Simplify right side
    9,788.50x = 75,617,102.19
  5. Step 5: Solve for x
    x = 75,617,102.19/9,788.50
  6. Step 6: Final answer
    x = 7,725.10

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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.