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Finding the Fourth Proportional to 9,736.20, 14,615.88 and 9,340.08

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Solution

The fourth proportional to 9,736.20, 14,615.88 and 9,340.08 is: 14,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.20 : 14,615.88 = 9,340.08 : x
  2. Step 2: Convert to fraction form
    9,736.20/14,615.88 = 9,340.08/x
  3. Step 3: Cross multiply
    9,736.20x = 14,615.88 × 9,340.08
  4. Step 4: Simplify right side
    9,736.20x = 136,513,488.47
  5. Step 5: Solve for x
    x = 136,513,488.47/9,736.20
  6. Step 6: Final answer
    x = 14,021.23

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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.