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Finding the Fourth Proportional to 9,862.67, 13,608.67 and 5,830.15

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Solution

The fourth proportional to 9,862.67, 13,608.67 and 5,830.15 is: 8,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.67 : 13,608.67 = 5,830.15 : x
  2. Step 2: Convert to fraction form
    9,862.67/13,608.67 = 5,830.15/x
  3. Step 3: Cross multiply
    9,862.67x = 13,608.67 × 5,830.15
  4. Step 4: Simplify right side
    9,862.67x = 79,340,621.72
  5. Step 5: Solve for x
    x = 79,340,621.72/9,862.67
  6. Step 6: Final answer
    x = 8,044.53

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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.