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Finding the Fourth Proportional to 6,282.09, 9,422.88 and 1,602.22

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Solution

The fourth proportional to 6,282.09, 9,422.88 and 1,602.22 is: 2,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.09 : 9,422.88 = 1,602.22 : x
  2. Step 2: Convert to fraction form
    6,282.09/9,422.88 = 1,602.22/x
  3. Step 3: Cross multiply
    6,282.09x = 9,422.88 × 1,602.22
  4. Step 4: Simplify right side
    6,282.09x = 15,097,492.90
  5. Step 5: Solve for x
    x = 15,097,492.90/6,282.09
  6. Step 6: Final answer
    x = 2,403.26

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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.