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Finding the Fourth Proportional to 8,937.84, 13,408.80 and 2,697.72

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Solution

The fourth proportional to 8,937.84, 13,408.80 and 2,697.72 is: 4,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.84 : 13,408.80 = 2,697.72 : x
  2. Step 2: Convert to fraction form
    8,937.84/13,408.80 = 2,697.72/x
  3. Step 3: Cross multiply
    8,937.84x = 13,408.80 × 2,697.72
  4. Step 4: Simplify right side
    8,937.84x = 36,173,187.94
  5. Step 5: Solve for x
    x = 36,173,187.94/8,937.84
  6. Step 6: Final answer
    x = 4,047.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.