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Finding the Fourth Proportional to 9,795.46, 13,518.97 and 6,070.02

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Solution

The fourth proportional to 9,795.46, 13,518.97 and 6,070.02 is: 8,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.46 : 13,518.97 = 6,070.02 : x
  2. Step 2: Convert to fraction form
    9,795.46/13,518.97 = 6,070.02/x
  3. Step 3: Cross multiply
    9,795.46x = 13,518.97 × 6,070.02
  4. Step 4: Simplify right side
    9,795.46x = 82,060,418.28
  5. Step 5: Solve for x
    x = 82,060,418.28/9,795.46
  6. Step 6: Final answer
    x = 8,377.39

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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.