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Finding the Fourth Proportional to 6,461.40, 9,701.10 and 4,135.80

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Solution

The fourth proportional to 6,461.40, 9,701.10 and 4,135.80 is: 6,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.40 : 9,701.10 = 4,135.80 : x
  2. Step 2: Convert to fraction form
    6,461.40/9,701.10 = 4,135.80/x
  3. Step 3: Cross multiply
    6,461.40x = 9,701.10 × 4,135.80
  4. Step 4: Simplify right side
    6,461.40x = 40,121,809.38
  5. Step 5: Solve for x
    x = 40,121,809.38/6,461.40
  6. Step 6: Final answer
    x = 6,209.46

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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.