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Finding the Fourth Proportional to 9,200.16, 13,808.90 and 4,820.69

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Solution

The fourth proportional to 9,200.16, 13,808.90 and 4,820.69 is: 7,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.16 : 13,808.90 = 4,820.69 : x
  2. Step 2: Convert to fraction form
    9,200.16/13,808.90 = 4,820.69/x
  3. Step 3: Cross multiply
    9,200.16x = 13,808.90 × 4,820.69
  4. Step 4: Simplify right side
    9,200.16x = 66,568,426.14
  5. Step 5: Solve for x
    x = 66,568,426.14/9,200.16
  6. Step 6: Final answer
    x = 7,235.57

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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.