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Finding the Fourth Proportional to 6,917, 9,545.46 and 4,433

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Solution

The fourth proportional to 6,917, 9,545.46 and 4,433 is: 6,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917 : 9,545.46 = 4,433 : x
  2. Step 2: Convert to fraction form
    6,917/9,545.46 = 4,433/x
  3. Step 3: Cross multiply
    6,917x = 9,545.46 × 4,433
  4. Step 4: Simplify right side
    6,917x = 42,315,024.18
  5. Step 5: Solve for x
    x = 42,315,024.18/6,917
  6. Step 6: Final answer
    x = 6,117.54

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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.