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Finding the Fourth Proportional to 6,211.84, 9,314.88 and 3,615.52

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Solution

The fourth proportional to 6,211.84, 9,314.88 and 3,615.52 is: 5,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.84 : 9,314.88 = 3,615.52 : x
  2. Step 2: Convert to fraction form
    6,211.84/9,314.88 = 3,615.52/x
  3. Step 3: Cross multiply
    6,211.84x = 9,314.88 × 3,615.52
  4. Step 4: Simplify right side
    6,211.84x = 33,678,134.94
  5. Step 5: Solve for x
    x = 33,678,134.94/6,211.84
  6. Step 6: Final answer
    x = 5,421.60

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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.