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Finding the Fourth Proportional to 9,214.90, 13,820.19 and 6,292.42

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Solution

The fourth proportional to 9,214.90, 13,820.19 and 6,292.42 is: 9,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.90 : 13,820.19 = 6,292.42 : x
  2. Step 2: Convert to fraction form
    9,214.90/13,820.19 = 6,292.42/x
  3. Step 3: Cross multiply
    9,214.90x = 13,820.19 × 6,292.42
  4. Step 4: Simplify right side
    9,214.90x = 86,962,439.96
  5. Step 5: Solve for x
    x = 86,962,439.96/9,214.90
  6. Step 6: Final answer
    x = 9,437.16

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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.