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Finding the Fourth Proportional to 6,562.14, 9,820.53 and 6,289.98

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Solution

The fourth proportional to 6,562.14, 9,820.53 and 6,289.98 is: 9,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.14 : 9,820.53 = 6,289.98 : x
  2. Step 2: Convert to fraction form
    6,562.14/9,820.53 = 6,289.98/x
  3. Step 3: Cross multiply
    6,562.14x = 9,820.53 × 6,289.98
  4. Step 4: Simplify right side
    6,562.14x = 61,770,937.29
  5. Step 5: Solve for x
    x = 61,770,937.29/6,562.14
  6. Step 6: Final answer
    x = 9,413.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.