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Finding the Fourth Proportional to 9,461, 14,191.56 and 3,305

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Solution

The fourth proportional to 9,461, 14,191.56 and 3,305 is: 4,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461 : 14,191.56 = 3,305 : x
  2. Step 2: Convert to fraction form
    9,461/14,191.56 = 3,305/x
  3. Step 3: Cross multiply
    9,461x = 14,191.56 × 3,305
  4. Step 4: Simplify right side
    9,461x = 46,903,105.80
  5. Step 5: Solve for x
    x = 46,903,105.80/9,461
  6. Step 6: Final answer
    x = 4,957.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.