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Finding the Fourth Proportional to 6,314.66, 9,466.59 and 2,421.86

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Solution

The fourth proportional to 6,314.66, 9,466.59 and 2,421.86 is: 3,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.66 : 9,466.59 = 2,421.86 : x
  2. Step 2: Convert to fraction form
    6,314.66/9,466.59 = 2,421.86/x
  3. Step 3: Cross multiply
    6,314.66x = 9,466.59 × 2,421.86
  4. Step 4: Simplify right side
    6,314.66x = 22,926,755.66
  5. Step 5: Solve for x
    x = 22,926,755.66/6,314.66
  6. Step 6: Final answer
    x = 3,630.72

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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.