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Finding the Fourth Proportional to 6,303.35, 9,455.03 and 4,114.55

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Solution

The fourth proportional to 6,303.35, 9,455.03 and 4,114.55 is: 6,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.35 : 9,455.03 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    6,303.35/9,455.03 = 4,114.55/x
  3. Step 3: Cross multiply
    6,303.35x = 9,455.03 × 4,114.55
  4. Step 4: Simplify right side
    6,303.35x = 38,903,173.11
  5. Step 5: Solve for x
    x = 38,903,173.11/6,303.35
  6. Step 6: Final answer
    x = 6,171.83

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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.