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Finding the Fourth Proportional to 6,480.22, 9,730.05 and 3,710.02

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Solution

The fourth proportional to 6,480.22, 9,730.05 and 3,710.02 is: 5,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.22 : 9,730.05 = 3,710.02 : x
  2. Step 2: Convert to fraction form
    6,480.22/9,730.05 = 3,710.02/x
  3. Step 3: Cross multiply
    6,480.22x = 9,730.05 × 3,710.02
  4. Step 4: Simplify right side
    6,480.22x = 36,098,680.10
  5. Step 5: Solve for x
    x = 36,098,680.10/6,480.22
  6. Step 6: Final answer
    x = 5,570.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.