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Finding the Fourth Proportional to 6,413.40, 9,612.50 and 2,899.26

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Solution

The fourth proportional to 6,413.40, 9,612.50 and 2,899.26 is: 4,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.40 : 9,612.50 = 2,899.26 : x
  2. Step 2: Convert to fraction form
    6,413.40/9,612.50 = 2,899.26/x
  3. Step 3: Cross multiply
    6,413.40x = 9,612.50 × 2,899.26
  4. Step 4: Simplify right side
    6,413.40x = 27,869,122.25
  5. Step 5: Solve for x
    x = 27,869,122.25/6,413.40
  6. Step 6: Final answer
    x = 4,345.45

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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.