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Finding the Fourth Proportional to 9,715, 13,406.72 and 5,299

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Solution

The fourth proportional to 9,715, 13,406.72 and 5,299 is: 7,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715 : 13,406.72 = 5,299 : x
  2. Step 2: Convert to fraction form
    9,715/13,406.72 = 5,299/x
  3. Step 3: Cross multiply
    9,715x = 13,406.72 × 5,299
  4. Step 4: Simplify right side
    9,715x = 71,042,209.28
  5. Step 5: Solve for x
    x = 71,042,209.28/9,715
  6. Step 6: Final answer
    x = 7,312.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.