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Finding the Fourth Proportional to 9,668.96, 14,497.84 and 5,160.45

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Solution

The fourth proportional to 9,668.96, 14,497.84 and 5,160.45 is: 7,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.96 : 14,497.84 = 5,160.45 : x
  2. Step 2: Convert to fraction form
    9,668.96/14,497.84 = 5,160.45/x
  3. Step 3: Cross multiply
    9,668.96x = 14,497.84 × 5,160.45
  4. Step 4: Simplify right side
    9,668.96x = 74,815,378.43
  5. Step 5: Solve for x
    x = 74,815,378.43/9,668.96
  6. Step 6: Final answer
    x = 7,737.69

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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.