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Finding the Fourth Proportional to 9,765.44, 13,475.43 and 5,785.91

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Solution

The fourth proportional to 9,765.44, 13,475.43 and 5,785.91 is: 7,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.44 : 13,475.43 = 5,785.91 : x
  2. Step 2: Convert to fraction form
    9,765.44/13,475.43 = 5,785.91/x
  3. Step 3: Cross multiply
    9,765.44x = 13,475.43 × 5,785.91
  4. Step 4: Simplify right side
    9,765.44x = 77,967,557.81
  5. Step 5: Solve for x
    x = 77,967,557.81/9,765.44
  6. Step 6: Final answer
    x = 7,984.03

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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.