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Finding the Fourth Proportional to 9,550.85, 14,325.60 and 4,002.17

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Solution

The fourth proportional to 9,550.85, 14,325.60 and 4,002.17 is: 6,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.85 : 14,325.60 = 4,002.17 : x
  2. Step 2: Convert to fraction form
    9,550.85/14,325.60 = 4,002.17/x
  3. Step 3: Cross multiply
    9,550.85x = 14,325.60 × 4,002.17
  4. Step 4: Simplify right side
    9,550.85x = 57,333,486.55
  5. Step 5: Solve for x
    x = 57,333,486.55/9,550.85
  6. Step 6: Final answer
    x = 6,002.97

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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.