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Finding the Fourth Proportional to 9,413.34, 12,990.58 and 5,164.62

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Solution

The fourth proportional to 9,413.34, 12,990.58 and 5,164.62 is: 7,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.34 : 12,990.58 = 5,164.62 : x
  2. Step 2: Convert to fraction form
    9,413.34/12,990.58 = 5,164.62/x
  3. Step 3: Cross multiply
    9,413.34x = 12,990.58 × 5,164.62
  4. Step 4: Simplify right side
    9,413.34x = 67,091,331.42
  5. Step 5: Solve for x
    x = 67,091,331.42/9,413.34
  6. Step 6: Final answer
    x = 7,127.26

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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.