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Finding the Fourth Proportional to 9,461, 13,057 and 5,270.06

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Solution

The fourth proportional to 9,461, 13,057 and 5,270.06 is: 7,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461 : 13,057 = 5,270.06 : x
  2. Step 2: Convert to fraction form
    9,461/13,057 = 5,270.06/x
  3. Step 3: Cross multiply
    9,461x = 13,057 × 5,270.06
  4. Step 4: Simplify right side
    9,461x = 68,811,173.42
  5. Step 5: Solve for x
    x = 68,811,173.42/9,461
  6. Step 6: Final answer
    x = 7,273.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.