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Finding the Fourth Proportional to 7,016.14, 9,681.94 and 4,029.86

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Solution

The fourth proportional to 7,016.14, 9,681.94 and 4,029.86 is: 5,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.14 : 9,681.94 = 4,029.86 : x
  2. Step 2: Convert to fraction form
    7,016.14/9,681.94 = 4,029.86/x
  3. Step 3: Cross multiply
    7,016.14x = 9,681.94 × 4,029.86
  4. Step 4: Simplify right side
    7,016.14x = 39,016,862.73
  5. Step 5: Solve for x
    x = 39,016,862.73/7,016.14
  6. Step 6: Final answer
    x = 5,561.02

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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.