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Finding the Fourth Proportional to 9,140.55, 13,712.10 and 3,218.22

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Solution

The fourth proportional to 9,140.55, 13,712.10 and 3,218.22 is: 4,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.55 : 13,712.10 = 3,218.22 : x
  2. Step 2: Convert to fraction form
    9,140.55/13,712.10 = 3,218.22/x
  3. Step 3: Cross multiply
    9,140.55x = 13,712.10 × 3,218.22
  4. Step 4: Simplify right side
    9,140.55x = 44,128,554.46
  5. Step 5: Solve for x
    x = 44,128,554.46/9,140.55
  6. Step 6: Final answer
    x = 4,827.78

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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.