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Finding the Fourth Proportional to 9,507.10, 13,120.29 and 5,731.46

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Solution

The fourth proportional to 9,507.10, 13,120.29 and 5,731.46 is: 7,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.10 : 13,120.29 = 5,731.46 : x
  2. Step 2: Convert to fraction form
    9,507.10/13,120.29 = 5,731.46/x
  3. Step 3: Cross multiply
    9,507.10x = 13,120.29 × 5,731.46
  4. Step 4: Simplify right side
    9,507.10x = 75,198,417.32
  5. Step 5: Solve for x
    x = 75,198,417.32/9,507.10
  6. Step 6: Final answer
    x = 7,909.71

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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.