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Finding the Fourth Proportional to 9,461.13, 14,197.16 and 4,267

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Solution

The fourth proportional to 9,461.13, 14,197.16 and 4,267 is: 6,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.13 : 14,197.16 = 4,267 : x
  2. Step 2: Convert to fraction form
    9,461.13/14,197.16 = 4,267/x
  3. Step 3: Cross multiply
    9,461.13x = 14,197.16 × 4,267
  4. Step 4: Simplify right side
    9,461.13x = 60,579,281.72
  5. Step 5: Solve for x
    x = 60,579,281.72/9,461.13
  6. Step 6: Final answer
    x = 6,402.96

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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.