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Finding the Fourth Proportional to 6,922.41, 9,551.49 and 4,088.35

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Solution

The fourth proportional to 6,922.41, 9,551.49 and 4,088.35 is: 5,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.41 : 9,551.49 = 4,088.35 : x
  2. Step 2: Convert to fraction form
    6,922.41/9,551.49 = 4,088.35/x
  3. Step 3: Cross multiply
    6,922.41x = 9,551.49 × 4,088.35
  4. Step 4: Simplify right side
    6,922.41x = 39,049,838.38
  5. Step 5: Solve for x
    x = 39,049,838.38/6,922.41
  6. Step 6: Final answer
    x = 5,641.07

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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.