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Finding the Fourth Proportional to 6,996.36, 9,655.54 and 4,013.16

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Solution

The fourth proportional to 6,996.36, 9,655.54 and 4,013.16 is: 5,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.36 : 9,655.54 = 4,013.16 : x
  2. Step 2: Convert to fraction form
    6,996.36/9,655.54 = 4,013.16/x
  3. Step 3: Cross multiply
    6,996.36x = 9,655.54 × 4,013.16
  4. Step 4: Simplify right side
    6,996.36x = 38,749,226.91
  5. Step 5: Solve for x
    x = 38,749,226.91/6,996.36
  6. Step 6: Final answer
    x = 5,538.48

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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.