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Finding the Fourth Proportional to 9,461.75, 13,057.34 and 5,270.00

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Solution

The fourth proportional to 9,461.75, 13,057.34 and 5,270.00 is: 7,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.75 : 13,057.34 = 5,270.00 : x
  2. Step 2: Convert to fraction form
    9,461.75/13,057.34 = 5,270.00/x
  3. Step 3: Cross multiply
    9,461.75x = 13,057.34 × 5,270.00
  4. Step 4: Simplify right side
    9,461.75x = 68,812,090.16
  5. Step 5: Solve for x
    x = 68,812,090.16/9,461.75
  6. Step 6: Final answer
    x = 7,272.66

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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.