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Finding the Fourth Proportional to 9,830.10, 13,570.17 and 5,795.70

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Solution

The fourth proportional to 9,830.10, 13,570.17 and 5,795.70 is: 8,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.10 : 13,570.17 = 5,795.70 : x
  2. Step 2: Convert to fraction form
    9,830.10/13,570.17 = 5,795.70/x
  3. Step 3: Cross multiply
    9,830.10x = 13,570.17 × 5,795.70
  4. Step 4: Simplify right side
    9,830.10x = 78,648,634.27
  5. Step 5: Solve for x
    x = 78,648,634.27/9,830.10
  6. Step 6: Final answer
    x = 8,000.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.