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Finding the Fourth Proportional to 9,781.71, 14,675.28 and 3,212.52

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Solution

The fourth proportional to 9,781.71, 14,675.28 and 3,212.52 is: 4,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.71 : 14,675.28 = 3,212.52 : x
  2. Step 2: Convert to fraction form
    9,781.71/14,675.28 = 3,212.52/x
  3. Step 3: Cross multiply
    9,781.71x = 14,675.28 × 3,212.52
  4. Step 4: Simplify right side
    9,781.71x = 47,144,630.51
  5. Step 5: Solve for x
    x = 47,144,630.51/9,781.71
  6. Step 6: Final answer
    x = 4,819.67

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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.