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Finding the Fourth Proportional to 9,204.62, 13,798.53 and 3,357.14

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Solution

The fourth proportional to 9,204.62, 13,798.53 and 3,357.14 is: 5,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.62 : 13,798.53 = 3,357.14 : x
  2. Step 2: Convert to fraction form
    9,204.62/13,798.53 = 3,357.14/x
  3. Step 3: Cross multiply
    9,204.62x = 13,798.53 × 3,357.14
  4. Step 4: Simplify right side
    9,204.62x = 46,323,528.01
  5. Step 5: Solve for x
    x = 46,323,528.01/9,204.62
  6. Step 6: Final answer
    x = 5,032.64

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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.