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Finding the Fourth Proportional to 9,595.05, 13,237.66 and 5,815.49

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Solution

The fourth proportional to 9,595.05, 13,237.66 and 5,815.49 is: 8,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.05 : 13,237.66 = 5,815.49 : x
  2. Step 2: Convert to fraction form
    9,595.05/13,237.66 = 5,815.49/x
  3. Step 3: Cross multiply
    9,595.05x = 13,237.66 × 5,815.49
  4. Step 4: Simplify right side
    9,595.05x = 76,983,450.28
  5. Step 5: Solve for x
    x = 76,983,450.28/9,595.05
  6. Step 6: Final answer
    x = 8,023.25

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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.