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Finding the Fourth Proportional to 9,461.90, 13,057.07 and 5,270.06

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Solution

The fourth proportional to 9,461.90, 13,057.07 and 5,270.06 is: 7,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.90 : 13,057.07 = 5,270.06 : x
  2. Step 2: Convert to fraction form
    9,461.90/13,057.07 = 5,270.06/x
  3. Step 3: Cross multiply
    9,461.90x = 13,057.07 × 5,270.06
  4. Step 4: Simplify right side
    9,461.90x = 68,811,542.32
  5. Step 5: Solve for x
    x = 68,811,542.32/9,461.90
  6. Step 6: Final answer
    x = 7,272.49

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