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Finding the Fourth Proportional to 9,402.18, 14,104.53 and 2,827.50

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Solution

The fourth proportional to 9,402.18, 14,104.53 and 2,827.50 is: 4,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.18 : 14,104.53 = 2,827.50 : x
  2. Step 2: Convert to fraction form
    9,402.18/14,104.53 = 2,827.50/x
  3. Step 3: Cross multiply
    9,402.18x = 14,104.53 × 2,827.50
  4. Step 4: Simplify right side
    9,402.18x = 39,880,558.58
  5. Step 5: Solve for x
    x = 39,880,558.58/9,402.18
  6. Step 6: Final answer
    x = 4,241.63

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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.