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Finding the Fourth Proportional to 9,662.96, 14,488.84 and 5,154.45

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Solution

The fourth proportional to 9,662.96, 14,488.84 and 5,154.45 is: 7,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.96 : 14,488.84 = 5,154.45 : x
  2. Step 2: Convert to fraction form
    9,662.96/14,488.84 = 5,154.45/x
  3. Step 3: Cross multiply
    9,662.96x = 14,488.84 × 5,154.45
  4. Step 4: Simplify right side
    9,662.96x = 74,682,001.34
  5. Step 5: Solve for x
    x = 74,682,001.34/9,662.96
  6. Step 6: Final answer
    x = 7,728.69

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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.