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Finding the Fourth Proportional to 6,543.23, 9,026.79 and 4,361

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Solution

The fourth proportional to 6,543.23, 9,026.79 and 4,361 is: 6,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.23 : 9,026.79 = 4,361 : x
  2. Step 2: Convert to fraction form
    6,543.23/9,026.79 = 4,361/x
  3. Step 3: Cross multiply
    6,543.23x = 9,026.79 × 4,361
  4. Step 4: Simplify right side
    6,543.23x = 39,365,831.19
  5. Step 5: Solve for x
    x = 39,365,831.19/6,543.23
  6. Step 6: Final answer
    x = 6,016.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.