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Finding the Fourth Proportional to 9,413.84, 12,991.56 and 5,222

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Solution

The fourth proportional to 9,413.84, 12,991.56 and 5,222 is: 7,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.84 : 12,991.56 = 5,222 : x
  2. Step 2: Convert to fraction form
    9,413.84/12,991.56 = 5,222/x
  3. Step 3: Cross multiply
    9,413.84x = 12,991.56 × 5,222
  4. Step 4: Simplify right side
    9,413.84x = 67,841,926.32
  5. Step 5: Solve for x
    x = 67,841,926.32/9,413.84
  6. Step 6: Final answer
    x = 7,206.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.