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Finding the Fourth Proportional to 9,561.27, 14,337.86 and 3,713.88

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Solution

The fourth proportional to 9,561.27, 14,337.86 and 3,713.88 is: 5,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.27 : 14,337.86 = 3,713.88 : x
  2. Step 2: Convert to fraction form
    9,561.27/14,337.86 = 3,713.88/x
  3. Step 3: Cross multiply
    9,561.27x = 14,337.86 × 3,713.88
  4. Step 4: Simplify right side
    9,561.27x = 53,249,072.93
  5. Step 5: Solve for x
    x = 53,249,072.93/9,561.27
  6. Step 6: Final answer
    x = 5,569.25

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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.