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Finding the Fourth Proportional to 9,744.10, 14,616.15 and 8,937.70

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Solution

The fourth proportional to 9,744.10, 14,616.15 and 8,937.70 is: 13,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.10 : 14,616.15 = 8,937.70 : x
  2. Step 2: Convert to fraction form
    9,744.10/14,616.15 = 8,937.70/x
  3. Step 3: Cross multiply
    9,744.10x = 14,616.15 × 8,937.70
  4. Step 4: Simplify right side
    9,744.10x = 130,634,763.86
  5. Step 5: Solve for x
    x = 130,634,763.86/9,744.10
  6. Step 6: Final answer
    x = 13,406.55

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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.