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Finding the Fourth Proportional to 9,673.47, 14,515.47 and 7,486.47

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Solution

The fourth proportional to 9,673.47, 14,515.47 and 7,486.47 is: 11,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.47 : 14,515.47 = 7,486.47 : x
  2. Step 2: Convert to fraction form
    9,673.47/14,515.47 = 7,486.47/x
  3. Step 3: Cross multiply
    9,673.47x = 14,515.47 × 7,486.47
  4. Step 4: Simplify right side
    9,673.47x = 108,669,630.69
  5. Step 5: Solve for x
    x = 108,669,630.69/9,673.47
  6. Step 6: Final answer
    x = 11,233.78

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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.