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Finding the Fourth Proportional to 9,675.94, 14,516.03 and 3,436.31

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Solution

The fourth proportional to 9,675.94, 14,516.03 and 3,436.31 is: 5,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.94 : 14,516.03 = 3,436.31 : x
  2. Step 2: Convert to fraction form
    9,675.94/14,516.03 = 3,436.31/x
  3. Step 3: Cross multiply
    9,675.94x = 14,516.03 × 3,436.31
  4. Step 4: Simplify right side
    9,675.94x = 49,881,515.06
  5. Step 5: Solve for x
    x = 49,881,515.06/9,675.94
  6. Step 6: Final answer
    x = 5,155.21

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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.