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Finding the Fourth Proportional to 6,455.90, 9,683.85 and 5,611.10

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Solution

The fourth proportional to 6,455.90, 9,683.85 and 5,611.10 is: 8,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.90 : 9,683.85 = 5,611.10 : x
  2. Step 2: Convert to fraction form
    6,455.90/9,683.85 = 5,611.10/x
  3. Step 3: Cross multiply
    6,455.90x = 9,683.85 × 5,611.10
  4. Step 4: Simplify right side
    6,455.90x = 54,337,050.74
  5. Step 5: Solve for x
    x = 54,337,050.74/6,455.90
  6. Step 6: Final answer
    x = 8,416.65

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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.