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Finding the Fourth Proportional to 9,506.94, 14,248.02 and 5,119.23

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Solution

The fourth proportional to 9,506.94, 14,248.02 and 5,119.23 is: 7,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.94 : 14,248.02 = 5,119.23 : x
  2. Step 2: Convert to fraction form
    9,506.94/14,248.02 = 5,119.23/x
  3. Step 3: Cross multiply
    9,506.94x = 14,248.02 × 5,119.23
  4. Step 4: Simplify right side
    9,506.94x = 72,938,891.42
  5. Step 5: Solve for x
    x = 72,938,891.42/9,506.94
  6. Step 6: Final answer
    x = 7,672.17

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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.