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Finding the Fourth Proportional to 9,849.03, 14,738.85 and 6,153

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Solution

The fourth proportional to 9,849.03, 14,738.85 and 6,153 is: 9,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.03 : 14,738.85 = 6,153 : x
  2. Step 2: Convert to fraction form
    9,849.03/14,738.85 = 6,153/x
  3. Step 3: Cross multiply
    9,849.03x = 14,738.85 × 6,153
  4. Step 4: Simplify right side
    9,849.03x = 90,688,144.05
  5. Step 5: Solve for x
    x = 90,688,144.05/9,849.03
  6. Step 6: Final answer
    x = 9,207.82

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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.