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Finding the Fourth Proportional to 9,290.70, 12,815.55 and 6,147.90

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Solution

The fourth proportional to 9,290.70, 12,815.55 and 6,147.90 is: 8,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.70 : 12,815.55 = 6,147.90 : x
  2. Step 2: Convert to fraction form
    9,290.70/12,815.55 = 6,147.90/x
  3. Step 3: Cross multiply
    9,290.70x = 12,815.55 × 6,147.90
  4. Step 4: Simplify right side
    9,290.70x = 78,788,719.85
  5. Step 5: Solve for x
    x = 78,788,719.85/9,290.70
  6. Step 6: Final answer
    x = 8,480.39

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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.