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Finding the Fourth Proportional to 7,029.91, 9,701.14 and 3,886.03

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Solution

The fourth proportional to 7,029.91, 9,701.14 and 3,886.03 is: 5,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.91 : 9,701.14 = 3,886.03 : x
  2. Step 2: Convert to fraction form
    7,029.91/9,701.14 = 3,886.03/x
  3. Step 3: Cross multiply
    7,029.91x = 9,701.14 × 3,886.03
  4. Step 4: Simplify right side
    7,029.91x = 37,698,921.07
  5. Step 5: Solve for x
    x = 37,698,921.07/7,029.91
  6. Step 6: Final answer
    x = 5,362.65

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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.