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Finding the Fourth Proportional to 9,502.30, 14,255.48 and 4,822.93

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Solution

The fourth proportional to 9,502.30, 14,255.48 and 4,822.93 is: 7,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.30 : 14,255.48 = 4,822.93 : x
  2. Step 2: Convert to fraction form
    9,502.30/14,255.48 = 4,822.93/x
  3. Step 3: Cross multiply
    9,502.30x = 14,255.48 × 4,822.93
  4. Step 4: Simplify right side
    9,502.30x = 68,753,182.16
  5. Step 5: Solve for x
    x = 68,753,182.16/9,502.30
  6. Step 6: Final answer
    x = 7,235.43

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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.