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Finding the Fourth Proportional to 9,200.14, 13,802.25 and 3,356.74

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Solution

The fourth proportional to 9,200.14, 13,802.25 and 3,356.74 is: 5,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.14 : 13,802.25 = 3,356.74 : x
  2. Step 2: Convert to fraction form
    9,200.14/13,802.25 = 3,356.74/x
  3. Step 3: Cross multiply
    9,200.14x = 13,802.25 × 3,356.74
  4. Step 4: Simplify right side
    9,200.14x = 46,330,599.17
  5. Step 5: Solve for x
    x = 46,330,599.17/9,200.14
  6. Step 6: Final answer
    x = 5,035.86

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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.