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Finding the Fourth Proportional to 6,274.84, 9,415.35 and 4,437.76

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Solution

The fourth proportional to 6,274.84, 9,415.35 and 4,437.76 is: 6,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.84 : 9,415.35 = 4,437.76 : x
  2. Step 2: Convert to fraction form
    6,274.84/9,415.35 = 4,437.76/x
  3. Step 3: Cross multiply
    6,274.84x = 9,415.35 × 4,437.76
  4. Step 4: Simplify right side
    6,274.84x = 41,783,063.62
  5. Step 5: Solve for x
    x = 41,783,063.62/6,274.84
  6. Step 6: Final answer
    x = 6,658.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.