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Finding the Fourth Proportional to 6,380.16, 8,808.96 and 4,701.76

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Solution

The fourth proportional to 6,380.16, 8,808.96 and 4,701.76 is: 6,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.16 : 8,808.96 = 4,701.76 : x
  2. Step 2: Convert to fraction form
    6,380.16/8,808.96 = 4,701.76/x
  3. Step 3: Cross multiply
    6,380.16x = 8,808.96 × 4,701.76
  4. Step 4: Simplify right side
    6,380.16x = 41,417,615.77
  5. Step 5: Solve for x
    x = 41,417,615.77/6,380.16
  6. Step 6: Final answer
    x = 6,491.63

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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.