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Finding the Fourth Proportional to 9,822.48, 14,743.44 and 4,632

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Solution

The fourth proportional to 9,822.48, 14,743.44 and 4,632 is: 6,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.48 : 14,743.44 = 4,632 : x
  2. Step 2: Convert to fraction form
    9,822.48/14,743.44 = 4,632/x
  3. Step 3: Cross multiply
    9,822.48x = 14,743.44 × 4,632
  4. Step 4: Simplify right side
    9,822.48x = 68,291,614.08
  5. Step 5: Solve for x
    x = 68,291,614.08/9,822.48
  6. Step 6: Final answer
    x = 6,952.58

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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.