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Finding the Fourth Proportional to 6,413.99, 9,607.01 and 3,120.13

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Solution

The fourth proportional to 6,413.99, 9,607.01 and 3,120.13 is: 4,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.99 : 9,607.01 = 3,120.13 : x
  2. Step 2: Convert to fraction form
    6,413.99/9,607.01 = 3,120.13/x
  3. Step 3: Cross multiply
    6,413.99x = 9,607.01 × 3,120.13
  4. Step 4: Simplify right side
    6,413.99x = 29,975,120.11
  5. Step 5: Solve for x
    x = 29,975,120.11/6,413.99
  6. Step 6: Final answer
    x = 4,673.40

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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.