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Finding the Fourth Proportional to 7,030.62, 9,701.82 and 3,843.27

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Solution

The fourth proportional to 7,030.62, 9,701.82 and 3,843.27 is: 5,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.62 : 9,701.82 = 3,843.27 : x
  2. Step 2: Convert to fraction form
    7,030.62/9,701.82 = 3,843.27/x
  3. Step 3: Cross multiply
    7,030.62x = 9,701.82 × 3,843.27
  4. Step 4: Simplify right side
    7,030.62x = 37,286,713.75
  5. Step 5: Solve for x
    x = 37,286,713.75/7,030.62
  6. Step 6: Final answer
    x = 5,303.47

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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.