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Finding the Fourth Proportional to 8,946.96, 13,421.16 and 3,750

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Solution

The fourth proportional to 8,946.96, 13,421.16 and 3,750 is: 5,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.96 : 13,421.16 = 3,750 : x
  2. Step 2: Convert to fraction form
    8,946.96/13,421.16 = 3,750/x
  3. Step 3: Cross multiply
    8,946.96x = 13,421.16 × 3,750
  4. Step 4: Simplify right side
    8,946.96x = 50,329,350
  5. Step 5: Solve for x
    x = 50,329,350/8,946.96
  6. Step 6: Final answer
    x = 5,625.30

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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.