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Finding the Fourth Proportional to 7,347.30, 10,122.14 and 6,013.22

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Solution

The fourth proportional to 7,347.30, 10,122.14 and 6,013.22 is: 8,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.30 : 10,122.14 = 6,013.22 : x
  2. Step 2: Convert to fraction form
    7,347.30/10,122.14 = 6,013.22/x
  3. Step 3: Cross multiply
    7,347.30x = 10,122.14 × 6,013.22
  4. Step 4: Simplify right side
    7,347.30x = 60,866,654.69
  5. Step 5: Solve for x
    x = 60,866,654.69/7,347.30
  6. Step 6: Final answer
    x = 8,284.22

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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.