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Finding the Fourth Proportional to 9,700.20, 13,372.43 and 6,507.81

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Solution

The fourth proportional to 9,700.20, 13,372.43 and 6,507.81 is: 8,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.20 : 13,372.43 = 6,507.81 : x
  2. Step 2: Convert to fraction form
    9,700.20/13,372.43 = 6,507.81/x
  3. Step 3: Cross multiply
    9,700.20x = 13,372.43 × 6,507.81
  4. Step 4: Simplify right side
    9,700.20x = 87,025,201.14
  5. Step 5: Solve for x
    x = 87,025,201.14/9,700.20
  6. Step 6: Final answer
    x = 8,971.49

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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.