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Finding the Fourth Proportional to 9,140.98, 13,701.10 and 4,200.41

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Solution

The fourth proportional to 9,140.98, 13,701.10 and 4,200.41 is: 6,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.98 : 13,701.10 = 4,200.41 : x
  2. Step 2: Convert to fraction form
    9,140.98/13,701.10 = 4,200.41/x
  3. Step 3: Cross multiply
    9,140.98x = 13,701.10 × 4,200.41
  4. Step 4: Simplify right side
    9,140.98x = 57,550,192.01
  5. Step 5: Solve for x
    x = 57,550,192.01/9,140.98
  6. Step 6: Final answer
    x = 6,295.85

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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.