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Finding the Fourth Proportional to 9,200.20, 13,802.35 and 3,356.81

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Solution

The fourth proportional to 9,200.20, 13,802.35 and 3,356.81 is: 5,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.20 : 13,802.35 = 3,356.81 : x
  2. Step 2: Convert to fraction form
    9,200.20/13,802.35 = 3,356.81/x
  3. Step 3: Cross multiply
    9,200.20x = 13,802.35 × 3,356.81
  4. Step 4: Simplify right side
    9,200.20x = 46,331,780.71
  5. Step 5: Solve for x
    x = 46,331,780.71/9,200.20
  6. Step 6: Final answer
    x = 5,035.96

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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.