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Finding the Fourth Proportional to 9,352.60, 12,914.85 and 5,821.81

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Solution

The fourth proportional to 9,352.60, 12,914.85 and 5,821.81 is: 8,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.60 : 12,914.85 = 5,821.81 : x
  2. Step 2: Convert to fraction form
    9,352.60/12,914.85 = 5,821.81/x
  3. Step 3: Cross multiply
    9,352.60x = 12,914.85 × 5,821.81
  4. Step 4: Simplify right side
    9,352.60x = 75,187,802.88
  5. Step 5: Solve for x
    x = 75,187,802.88/9,352.60
  6. Step 6: Final answer
    x = 8,039.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.