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Finding the Fourth Proportional to 30,422.12, 45,633.27 and 9,362

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Solution

The fourth proportional to 30,422.12, 45,633.27 and 9,362 is: 14,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.12 : 45,633.27 = 9,362 : x
  2. Step 2: Convert to fraction form
    30,422.12/45,633.27 = 9,362/x
  3. Step 3: Cross multiply
    30,422.12x = 45,633.27 × 9,362
  4. Step 4: Simplify right side
    30,422.12x = 427,218,673.74
  5. Step 5: Solve for x
    x = 427,218,673.74/30,422.12
  6. Step 6: Final answer
    x = 14,043.03

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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.