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Finding the Fourth Proportional to 7,022.12, 9,686.06 and 5,339.84

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Solution

The fourth proportional to 7,022.12, 9,686.06 and 5,339.84 is: 7,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.12 : 9,686.06 = 5,339.84 : x
  2. Step 2: Convert to fraction form
    7,022.12/9,686.06 = 5,339.84/x
  3. Step 3: Cross multiply
    7,022.12x = 9,686.06 × 5,339.84
  4. Step 4: Simplify right side
    7,022.12x = 51,721,985.56
  5. Step 5: Solve for x
    x = 51,721,985.56/7,022.12
  6. Step 6: Final answer
    x = 7,365.59

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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.