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Finding the Fourth Proportional to 9,909.74, 14,864.46 and 2,413.36

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Solution

The fourth proportional to 9,909.74, 14,864.46 and 2,413.36 is: 3,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.74 : 14,864.46 = 2,413.36 : x
  2. Step 2: Convert to fraction form
    9,909.74/14,864.46 = 2,413.36/x
  3. Step 3: Cross multiply
    9,909.74x = 14,864.46 × 2,413.36
  4. Step 4: Simplify right side
    9,909.74x = 35,873,293.19
  5. Step 5: Solve for x
    x = 35,873,293.19/9,909.74
  6. Step 6: Final answer
    x = 3,620.00

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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.