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Finding the Fourth Proportional to 6,977.61, 9,627.74 and 4,457.78

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Solution

The fourth proportional to 6,977.61, 9,627.74 and 4,457.78 is: 6,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.61 : 9,627.74 = 4,457.78 : x
  2. Step 2: Convert to fraction form
    6,977.61/9,627.74 = 4,457.78/x
  3. Step 3: Cross multiply
    6,977.61x = 9,627.74 × 4,457.78
  4. Step 4: Simplify right side
    6,977.61x = 42,918,408.44
  5. Step 5: Solve for x
    x = 42,918,408.44/6,977.61
  6. Step 6: Final answer
    x = 6,150.88

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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.