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Finding the Fourth Proportional to 9,975.79, 14,964.63 and 4,781.71

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Solution

The fourth proportional to 9,975.79, 14,964.63 and 4,781.71 is: 7,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.79 : 14,964.63 = 4,781.71 : x
  2. Step 2: Convert to fraction form
    9,975.79/14,964.63 = 4,781.71/x
  3. Step 3: Cross multiply
    9,975.79x = 14,964.63 × 4,781.71
  4. Step 4: Simplify right side
    9,975.79x = 71,556,520.92
  5. Step 5: Solve for x
    x = 71,556,520.92/9,975.79
  6. Step 6: Final answer
    x = 7,173.02

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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.