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Finding the Fourth Proportional to 9,300.71, 12,834.99 and 5,051.75

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Solution

The fourth proportional to 9,300.71, 12,834.99 and 5,051.75 is: 6,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.71 : 12,834.99 = 5,051.75 : x
  2. Step 2: Convert to fraction form
    9,300.71/12,834.99 = 5,051.75/x
  3. Step 3: Cross multiply
    9,300.71x = 12,834.99 × 5,051.75
  4. Step 4: Simplify right side
    9,300.71x = 64,839,096.56
  5. Step 5: Solve for x
    x = 64,839,096.56/9,300.71
  6. Step 6: Final answer
    x = 6,971.42

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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.