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Finding the Fourth Proportional to 9,590.13, 13,236.08 and 7,615.76

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Solution

The fourth proportional to 9,590.13, 13,236.08 and 7,615.76 is: 10,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.13 : 13,236.08 = 7,615.76 : x
  2. Step 2: Convert to fraction form
    9,590.13/13,236.08 = 7,615.76/x
  3. Step 3: Cross multiply
    9,590.13x = 13,236.08 × 7,615.76
  4. Step 4: Simplify right side
    9,590.13x = 100,802,704.36
  5. Step 5: Solve for x
    x = 100,802,704.36/9,590.13
  6. Step 6: Final answer
    x = 10,511.09

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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.