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Finding the Fourth Proportional to 6,615.90, 9,130.78 and 3,821.40

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Solution

The fourth proportional to 6,615.90, 9,130.78 and 3,821.40 is: 5,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.90 : 9,130.78 = 3,821.40 : x
  2. Step 2: Convert to fraction form
    6,615.90/9,130.78 = 3,821.40/x
  3. Step 3: Cross multiply
    6,615.90x = 9,130.78 × 3,821.40
  4. Step 4: Simplify right side
    6,615.90x = 34,892,362.69
  5. Step 5: Solve for x
    x = 34,892,362.69/6,615.90
  6. Step 6: Final answer
    x = 5,274.02

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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.