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Finding the Fourth Proportional to 9,759.15, 14,642.01 and 3,096.74

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Solution

The fourth proportional to 9,759.15, 14,642.01 and 3,096.74 is: 4,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.15 : 14,642.01 = 3,096.74 : x
  2. Step 2: Convert to fraction form
    9,759.15/14,642.01 = 3,096.74/x
  3. Step 3: Cross multiply
    9,759.15x = 14,642.01 × 3,096.74
  4. Step 4: Simplify right side
    9,759.15x = 45,342,498.05
  5. Step 5: Solve for x
    x = 45,342,498.05/9,759.15
  6. Step 6: Final answer
    x = 4,646.15

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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.