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Finding the Fourth Proportional to 9,977.58, 13,767.96 and 6,390.90

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Solution

The fourth proportional to 9,977.58, 13,767.96 and 6,390.90 is: 8,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.58 : 13,767.96 = 6,390.90 : x
  2. Step 2: Convert to fraction form
    9,977.58/13,767.96 = 6,390.90/x
  3. Step 3: Cross multiply
    9,977.58x = 13,767.96 × 6,390.90
  4. Step 4: Simplify right side
    9,977.58x = 87,989,655.56
  5. Step 5: Solve for x
    x = 87,989,655.56/9,977.58
  6. Step 6: Final answer
    x = 8,818.74

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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.