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Finding the Fourth Proportional to 6,738.34, 9,294.70 and 4,820.62

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Solution

The fourth proportional to 6,738.34, 9,294.70 and 4,820.62 is: 6,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.34 : 9,294.70 = 4,820.62 : x
  2. Step 2: Convert to fraction form
    6,738.34/9,294.70 = 4,820.62/x
  3. Step 3: Cross multiply
    6,738.34x = 9,294.70 × 4,820.62
  4. Step 4: Simplify right side
    6,738.34x = 44,806,216.71
  5. Step 5: Solve for x
    x = 44,806,216.71/6,738.34
  6. Step 6: Final answer
    x = 6,649.44

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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.