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Finding the Fourth Proportional to 9,713.07, 14,538.27 and 5,026.62

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Solution

The fourth proportional to 9,713.07, 14,538.27 and 5,026.62 is: 7,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.07 : 14,538.27 = 5,026.62 : x
  2. Step 2: Convert to fraction form
    9,713.07/14,538.27 = 5,026.62/x
  3. Step 3: Cross multiply
    9,713.07x = 14,538.27 × 5,026.62
  4. Step 4: Simplify right side
    9,713.07x = 73,078,358.75
  5. Step 5: Solve for x
    x = 73,078,358.75/9,713.07
  6. Step 6: Final answer
    x = 7,523.71

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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.