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Finding the Fourth Proportional to 6,616.26, 9,133.56 and 4,262.40

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Solution

The fourth proportional to 6,616.26, 9,133.56 and 4,262.40 is: 5,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.26 : 9,133.56 = 4,262.40 : x
  2. Step 2: Convert to fraction form
    6,616.26/9,133.56 = 4,262.40/x
  3. Step 3: Cross multiply
    6,616.26x = 9,133.56 × 4,262.40
  4. Step 4: Simplify right side
    6,616.26x = 38,930,886.14
  5. Step 5: Solve for x
    x = 38,930,886.14/6,616.26
  6. Step 6: Final answer
    x = 5,884.12

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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.