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Finding the Fourth Proportional to 6,413.13, 9,621.99 and 2,903.94

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Solution

The fourth proportional to 6,413.13, 9,621.99 and 2,903.94 is: 4,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.13 : 9,621.99 = 2,903.94 : x
  2. Step 2: Convert to fraction form
    6,413.13/9,621.99 = 2,903.94/x
  3. Step 3: Cross multiply
    6,413.13x = 9,621.99 × 2,903.94
  4. Step 4: Simplify right side
    6,413.13x = 27,941,681.64
  5. Step 5: Solve for x
    x = 27,941,681.64/6,413.13
  6. Step 6: Final answer
    x = 4,356.95

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Why These Related Problems?

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