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Finding the Fourth Proportional to 9,771.94, 14,652.74 and 4,502.35

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Solution

The fourth proportional to 9,771.94, 14,652.74 and 4,502.35 is: 6,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.94 : 14,652.74 = 4,502.35 : x
  2. Step 2: Convert to fraction form
    9,771.94/14,652.74 = 4,502.35/x
  3. Step 3: Cross multiply
    9,771.94x = 14,652.74 × 4,502.35
  4. Step 4: Simplify right side
    9,771.94x = 65,971,738.56
  5. Step 5: Solve for x
    x = 65,971,738.56/9,771.94
  6. Step 6: Final answer
    x = 6,751.14

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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.