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Finding the Fourth Proportional to 6,223.61, 9,335.30 and 1,543.63

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Solution

The fourth proportional to 6,223.61, 9,335.30 and 1,543.63 is: 2,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.61 : 9,335.30 = 1,543.63 : x
  2. Step 2: Convert to fraction form
    6,223.61/9,335.30 = 1,543.63/x
  3. Step 3: Cross multiply
    6,223.61x = 9,335.30 × 1,543.63
  4. Step 4: Simplify right side
    6,223.61x = 14,410,249.14
  5. Step 5: Solve for x
    x = 14,410,249.14/6,223.61
  6. Step 6: Final answer
    x = 2,315.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.