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Finding the Fourth Proportional to 9,314.58, 13,966.46 and 3,763.38

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Solution

The fourth proportional to 9,314.58, 13,966.46 and 3,763.38 is: 5,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.58 : 13,966.46 = 3,763.38 : x
  2. Step 2: Convert to fraction form
    9,314.58/13,966.46 = 3,763.38/x
  3. Step 3: Cross multiply
    9,314.58x = 13,966.46 × 3,763.38
  4. Step 4: Simplify right side
    9,314.58x = 52,561,096.23
  5. Step 5: Solve for x
    x = 52,561,096.23/9,314.58
  6. Step 6: Final answer
    x = 5,642.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.