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Finding the Fourth Proportional to 6,357.84, 8,776.80 and 4,263.36

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Solution

The fourth proportional to 6,357.84, 8,776.80 and 4,263.36 is: 5,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.84 : 8,776.80 = 4,263.36 : x
  2. Step 2: Convert to fraction form
    6,357.84/8,776.80 = 4,263.36/x
  3. Step 3: Cross multiply
    6,357.84x = 8,776.80 × 4,263.36
  4. Step 4: Simplify right side
    6,357.84x = 37,418,658.05
  5. Step 5: Solve for x
    x = 37,418,658.05/6,357.84
  6. Step 6: Final answer
    x = 5,885.44

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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.