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Finding the Fourth Proportional to 9,502.79, 14,255.84 and 3,658.93

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Solution

The fourth proportional to 9,502.79, 14,255.84 and 3,658.93 is: 5,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.79 : 14,255.84 = 3,658.93 : x
  2. Step 2: Convert to fraction form
    9,502.79/14,255.84 = 3,658.93/x
  3. Step 3: Cross multiply
    9,502.79x = 14,255.84 × 3,658.93
  4. Step 4: Simplify right side
    9,502.79x = 52,161,094.16
  5. Step 5: Solve for x
    x = 52,161,094.16/9,502.79
  6. Step 6: Final answer
    x = 5,489.03

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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.