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Finding the Fourth Proportional to 9,666.96, 14,494.84 and 5,158.45

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Solution

The fourth proportional to 9,666.96, 14,494.84 and 5,158.45 is: 7,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.96 : 14,494.84 = 5,158.45 : x
  2. Step 2: Convert to fraction form
    9,666.96/14,494.84 = 5,158.45/x
  3. Step 3: Cross multiply
    9,666.96x = 14,494.84 × 5,158.45
  4. Step 4: Simplify right side
    9,666.96x = 74,770,907.40
  5. Step 5: Solve for x
    x = 74,770,907.40/9,666.96
  6. Step 6: Final answer
    x = 7,734.69

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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.