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Finding the Fourth Proportional to 6,890.22, 9,483.84 and 5,758.38

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Solution

The fourth proportional to 6,890.22, 9,483.84 and 5,758.38 is: 7,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.22 : 9,483.84 = 5,758.38 : x
  2. Step 2: Convert to fraction form
    6,890.22/9,483.84 = 5,758.38/x
  3. Step 3: Cross multiply
    6,890.22x = 9,483.84 × 5,758.38
  4. Step 4: Simplify right side
    6,890.22x = 54,611,554.58
  5. Step 5: Solve for x
    x = 54,611,554.58/6,890.22
  6. Step 6: Final answer
    x = 7,925.95

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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.